LCM for 38 and 53

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What's the Least Common Multiple (LCM) of 38 and 53?

Answer

LCM of 38 and 53 is
2,014

First common multiples: 2,014; 4,028; 6,042; …

2,014 is divisible by both: 2,014 ÷ 38 = 53; 2,014 ÷ 53 = 38 — and 53 and 38 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/38 by 53 and of y/53 by 38.

38 and 53 are coprime (GCF = 1), so their LCM is simply the product: 38 × 53 = 2,014.

38 = 2 × 19

53 — prime

Prime3853Highest power
22—2
1919—19
53—5353

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

LCM = 2 × 19 × 53 = 2,014

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LCM Table

Number 1Number 2LCM
383838
38391,482
3840760
38411,558
3842798
38431,634
3844836
38451,710
3846874
38471,786
3848912
38491,862
3850950
38511,938
3852988
38532,014
38541,026
38552,090
38561,064
3857114
38581,102
38592,242
38601,140
38612,318
38621,178
38632,394
38641,216
38652,470
38661,254
38672,546

FAQ

What's the Least Common Multiple (LCM) of 38 and 53?

LCM of 38 and 53 is 2,014

How to find the LCM of 38 and 53 using prime factorization?

To find the LCM of 38 and 53, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,014.

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 38 and 53: LCM = 2,014, GCF = 1.

See Also