LCM for 49 and 52

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What's the Least Common Multiple (LCM) of 49 and 52?

Answer

LCM of 49 and 52 is
2,548

(Two thousand five hundred forty-eight)

Finding LCM for 49 and 52 using GCF of these numbers

The first method to find LCM for numbers 49 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 49 and 52 is 1, so

LCM = (49 × 52) ÷ 1

LCM = 2,548 ÷ 1

LCM = 2,548

Finding LCM for 49 and 52 by Listing Multiples

The second method to find LCM for numbers 49 and 52 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

Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352, 1404, 1456, 1508, 1560, 1612, 1664, 1716, 1768, 1820, 1872, 1924, 1976, 2028, 2080, 2132, 2184, 2236, 2288, 2340, 2392, 2444, 2496, 2548, 2600, 2652

So the LCM for 49 and 52 is 2,548

Finding LCM for 49 and 52 by Prime Factorization

Another method to find LCM for numbers 49 and 52 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 52: 2, 2, 13 (exponent form: 22, 131)

72 × 22 × 131 = 2,548

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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 52? (The answer is: 2,548). Select the first number (e.g. '49') and the second number (e.g. '52'). 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
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LCM Table

Number 1Number 2LCM
49371,813
49381,862
49391,911
49401,960
49412,009
4942294
49432,107
49442,156
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

FAQ

What's the Least Common Multiple (LCM) of 49 and 52?

LCM of 49 and 52 is 2,548

How to find the LCM of 49 and 52 using prime factorization?

To find the LCM of 49 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,548.

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 52: LCM = 2,548, GCF = 1.

See Also