GCF and LCM Calculator Logo

What is the Least Common Multiple of 37532 and 37543?

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 37532 and 37543 is 128096716.

LCM(37532,37543) = 128096716

LCM Calculator and
and

Least Common Multiple of 37532 and 37543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37532 and 37543, than apply into the LCM equation.

GCF(37532,37543) = 11
LCM(37532,37543) = ( 37532 × 37543) / 11
LCM(37532,37543) = 1409063876 / 11
LCM(37532,37543) = 128096716

Least Common Multiple (LCM) of 37532 and 37543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37532 and 37543. First we will calculate the prime factors of 37532 and 37543.

Prime Factorization of 37532

Prime factors of 37532 are 2, 11, 853. Prime factorization of 37532 in exponential form is:

37532 = 22 × 111 × 8531

Prime Factorization of 37543

Prime factors of 37543 are 11, 3413. Prime factorization of 37543 in exponential form is:

37543 = 111 × 34131

Now multiplying the highest exponent prime factors to calculate the LCM of 37532 and 37543.

LCM(37532,37543) = 22 × 111 × 8531 × 34131
LCM(37532,37543) = 128096716