GCF and LCM Calculator Logo

What is the Least Common Multiple of 1352 and 1372?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 1352 and 1372 is 463736.

LCM(1352,1372) = 463736

LCM Calculator and
and

Least Common Multiple of 1352 and 1372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1352 and 1372, than apply into the LCM equation.

GCF(1352,1372) = 4
LCM(1352,1372) = ( 1352 × 1372) / 4
LCM(1352,1372) = 1854944 / 4
LCM(1352,1372) = 463736

Least Common Multiple (LCM) of 1352 and 1372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1352 and 1372. First we will calculate the prime factors of 1352 and 1372.

Prime Factorization of 1352

Prime factors of 1352 are 2, 13. Prime factorization of 1352 in exponential form is:

1352 = 23 × 132

Prime Factorization of 1372

Prime factors of 1372 are 2, 7. Prime factorization of 1372 in exponential form is:

1372 = 22 × 73

Now multiplying the highest exponent prime factors to calculate the LCM of 1352 and 1372.

LCM(1352,1372) = 23 × 132 × 73
LCM(1352,1372) = 463736