LCM for 51 and 52

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What's the Least Common Multiple (LCM) of 51 and 52?

Answer

LCM of 51 and 52 is
2,652

First common multiples: 2,652; 5,304; 7,956; …

2,652 is divisible by both: 2,652 ÷ 51 = 52; 2,652 ÷ 52 = 51 — and 52 and 51 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/51 by 52 and of y/52 by 51.

51 and 52 are coprime (GCF = 1), so their LCM is simply the product: 51 × 52 = 2,652.

51 = 3 × 17

52 = 22 × 13

Prime5152Highest power
2—2222
33—3
13—1313
1717—17

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

LCM = 22 × 3 × 13 × 17 = 2,652

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LCM Table

Number 1Number 2LCM
51371,887
51381,938
5139663
51402,040
51412,091
5142714
51432,193
51442,244
5145765
51462,346
51472,397
5148816
51492,499
51502,550
515151
51522,652
51532,703
5154918
51552,805
51562,856
5157969
51582,958
51593,009
51601,020
51613,111
51623,162
51631,071
51643,264
51653,315
51661,122

FAQ

What's the Least Common Multiple (LCM) of 51 and 52?

LCM of 51 and 52 is 2,652

How to find the LCM of 51 and 52 using prime factorization?

To find the LCM of 51 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,652.

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 51 and 52: LCM = 2,652, GCF = 1.

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