What is the Least Common Multiple of 93624 and 93642?

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 93624 and 93642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93624 and 93642, than apply into the LCM equation.

GCF(93624,93642) = 6
LCM(93624,93642) = ( 93624 × 93642) / 6
LCM(93624,93642) = 8767138608 / 6
LCM(93624,93642) = 1461189768

Least Common Multiple (LCM) of 93624 and 93642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93624 and 93642. First we will calculate the prime factors of 93624 and 93642.

Prime Factorization of 93624

Prime Factorization of 93642

Now multiplying the highest exponent prime factors to calculate the LCM of 93624 and 93642.

LCM(93624,93642) = 2³ × 3¹ × 47¹ × 83¹ × 15607¹
LCM(93624,93642) = 1461189768