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 = 2,940 ÷ 1

LCM = 2,940

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, 1,029, 1,078, 1,127, 1,176, 1,225, 1,274, 1,323, 1,372, 1,421, 1,470, 1,519, 1,568, 1,617, 1,666, 1,715, 1,764, 1,813, 1,862, 1,911, 1,960, 2,009, 2,058, 2,107, 2,156, 2,205, 2,254, 2,303, 2,352, 2,401, 2,450, 2,499, 2,548, 2,597, 2,646, 2,695, 2,744, 2,793, 2,842, 2,891, 2,940, 2,989, 3,038

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1,020, 1,080, 1,140, 1,200, 1,260, 1,320, 1,380, 1,440, 1,500, 1,560, 1,620, 1,680, 1,740, 1,800, 1,860, 1,920, 1,980, 2,040, 2,100, 2,160, 2,220, 2,280, 2,340, 2,400, 2,460, 2,520, 2,580, 2,640, 2,700, 2,760, 2,820, 2,880, 2,940, 3,000, 3,060

So the LCM for 49 and 60 is 2,940

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 = 2,940

Related Calculations

See Also

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: 2,940). 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

LCM Table

Number 1Number 2LCM
49452,205
49462,254
49472,303
49482,352
494949
49502,450
49512,499
49522,548
49532,597
49542,646
49552,695
4956392
49572,793
49582,842
49592,891
49602,940
49612,989
49623,038
4963441
49643,136
49653,185
49663,234
49673,283
49683,332
49693,381
4970490
49713,479
49723,528
49733,577
49743,626

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