What is the Least Common Multiple of 37669 and 37675?

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 of 37669 and 37675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37669 and 37675, than apply into the LCM equation.

GCF(37669,37675) = 1
LCM(37669,37675) = ( 37669 × 37675) / 1
LCM(37669,37675) = 1419179575 / 1
LCM(37669,37675) = 1419179575

Least Common Multiple (LCM) of 37669 and 37675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37669 and 37675. First we will calculate the prime factors of 37669 and 37675.

Prime Factorization of 37669

Prime Factorization of 37675

Now multiplying the highest exponent prime factors to calculate the LCM of 37669 and 37675.

LCM(37669,37675) = 139¹ × 271¹ × 5² × 11¹ × 137¹
LCM(37669,37675) = 1419179575