LCM for 52 and 91

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What's the Least Common Multiple (LCM) of 52 and 91?

Answer

LCM of 52 and 91 is
364

First common multiples: 364; 728; 1,092; …

364 is divisible by both: 364 ÷ 52 = 7, 364 ÷ 91 = 4 — and 7 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/52 by 7 and of y/91 by 4.

52 = 22 × 13

91 = 7 × 13

Prime5291Highest power
222—22
7—77
13131313

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 7 × 13 = 364

See Also

LCM Table

Number 1Number 2LCM
5276988
52774,004
5278156
52794,108
52801,040
52814,212
52822,132
52834,316
52841,092
52854,420
52862,236
52874,524
52881,144
52894,628
52902,340
5291364
52921,196
52934,836
52942,444
52954,940
52961,248
52975,044
52982,548
52995,148
521001,300
521015,252
521022,652
521035,356
52104104
521055,460

FAQ

What's the Least Common Multiple (LCM) of 52 and 91?

LCM of 52 and 91 is 364

How to find the LCM of 52 and 91 using prime factorization?

To find the LCM of 52 and 91, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 364.

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 52 and 91: LCM = 364, GCF = 13.