What is the Least Common Multiple of 93744 and 93762?

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 93744 and 93762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93744 and 93762, than apply into the LCM equation.

GCF(93744,93762) = 18
LCM(93744,93762) = ( 93744 × 93762) / 18
LCM(93744,93762) = 8789624928 / 18
LCM(93744,93762) = 488312496

Least Common Multiple (LCM) of 93744 and 93762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93744 and 93762. First we will calculate the prime factors of 93744 and 93762.

Prime Factorization of 93744

Prime Factorization of 93762

Now multiplying the highest exponent prime factors to calculate the LCM of 93744 and 93762.

LCM(93744,93762) = 2⁴ × 3³ × 7¹ × 31¹ × 5209¹
LCM(93744,93762) = 488312496