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LCM for 49 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 49 and 60?

Answer

LCM of 49 and 60 is 2,940

(Two thousand nine hundred forty)

Finding LCM for 49 and 60 using GCF of these numbers

The first method to find LCM for numbers 49 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 49 and 60 is 1, so

LCM = (49 × 60) ÷ 1

LCM = 2940 ÷ 1

LCM = 2940

Finding LCM for 49 and 60 by Listing Multiples

The second method to find LCM for numbers 49 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060

So the LCM for 49 and 60 is 2940

Finding LCM for 49 and 60 by Prime Factorization

Another method to find LCM for numbers 49 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 49: 7, 7 (exponent form: 72)

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

72 × 22 × 31 × 51 = 2940

Related Calculations

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What is the LCM of 49 and 60?. The LCM of 49 and 60 is 2940 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
49452205
49462254
49472303
49482352
494949
49502450
49512499
49522548
49532597
49542646
49552695
4956392
49572793
49582842
49592891
49602940
49612989
49623038
4963441
49643136
49653185
49663234
49673283
49683332
49693381
4970490
49713479
49723528
49733577
49743626

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 49 and 60? (The answer is: 2940). Select the first number (e.g. '49') and the second number (e.g. '60'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 49 and 60?

LCM of 49 and 60 is 2,940

How to find the LCM of 49 and 60 using prime factorization?

To find the LCM of 49 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,940.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 49 and 60: LCM = 2,940, GCF = 1.

See Also