What is the Least Common Multiple of 93750 and 93768?

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 93750 and 93768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93750 and 93768, than apply into the LCM equation.

GCF(93750,93768) = 6
LCM(93750,93768) = ( 93750 × 93768) / 6
LCM(93750,93768) = 8790750000 / 6
LCM(93750,93768) = 1465125000

Least Common Multiple (LCM) of 93750 and 93768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93750 and 93768. First we will calculate the prime factors of 93750 and 93768.

Prime Factorization of 93750

Prime Factorization of 93768

Now multiplying the highest exponent prime factors to calculate the LCM of 93750 and 93768.

LCM(93750,93768) = 2³ × 3¹ × 5⁶ × 3907¹
LCM(93750,93768) = 1465125000