What is the Least Common Multiple of 32370 and 32378?

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 32370 and 32378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32370 and 32378, than apply into the LCM equation.

GCF(32370,32378) = 2
LCM(32370,32378) = ( 32370 × 32378) / 2
LCM(32370,32378) = 1048075860 / 2
LCM(32370,32378) = 524037930

Least Common Multiple (LCM) of 32370 and 32378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32370 and 32378. First we will calculate the prime factors of 32370 and 32378.

Prime Factorization of 32370

Prime Factorization of 32378

Now multiplying the highest exponent prime factors to calculate the LCM of 32370 and 32378.

LCM(32370,32378) = 2¹ × 3¹ × 5¹ × 13¹ × 83¹ × 16189¹
LCM(32370,32378) = 524037930