GCF and LCM Calculator Logo

What is the Least Common Multiple of 37347 and 37352?

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 37347 and 37352 is 1394985144.

LCM(37347,37352) = 1394985144

LCM Calculator and
and

Least Common Multiple of 37347 and 37352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37347 and 37352, than apply into the LCM equation.

GCF(37347,37352) = 1
LCM(37347,37352) = ( 37347 × 37352) / 1
LCM(37347,37352) = 1394985144 / 1
LCM(37347,37352) = 1394985144

Least Common Multiple (LCM) of 37347 and 37352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37347 and 37352. First we will calculate the prime factors of 37347 and 37352.

Prime Factorization of 37347

Prime factors of 37347 are 3, 59, 211. Prime factorization of 37347 in exponential form is:

37347 = 31 × 591 × 2111

Prime Factorization of 37352

Prime factors of 37352 are 2, 7, 23, 29. Prime factorization of 37352 in exponential form is:

37352 = 23 × 71 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 37347 and 37352.

LCM(37347,37352) = 31 × 591 × 2111 × 23 × 71 × 231 × 291
LCM(37347,37352) = 1394985144