What is the Least Common Multiple of 93372 and 93376?

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 93372 and 93376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93372 and 93376, than apply into the LCM equation.

GCF(93372,93376) = 4
LCM(93372,93376) = ( 93372 × 93376) / 4
LCM(93372,93376) = 8718703872 / 4
LCM(93372,93376) = 2179675968

Least Common Multiple (LCM) of 93372 and 93376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93372 and 93376. First we will calculate the prime factors of 93372 and 93376.

Prime Factorization of 93372

Prime Factorization of 93376

Now multiplying the highest exponent prime factors to calculate the LCM of 93372 and 93376.

LCM(93372,93376) = 2⁶ × 3¹ × 31¹ × 251¹ × 1459¹
LCM(93372,93376) = 2179675968