What is the Least Common Multiple of 93748 and 93752?

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 93748 and 93752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93748 and 93752, than apply into the LCM equation.

GCF(93748,93752) = 4
LCM(93748,93752) = ( 93748 × 93752) / 4
LCM(93748,93752) = 8789062496 / 4
LCM(93748,93752) = 2197265624

Least Common Multiple (LCM) of 93748 and 93752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93748 and 93752. First we will calculate the prime factors of 93748 and 93752.

Prime Factorization of 93748

Prime Factorization of 93752

Now multiplying the highest exponent prime factors to calculate the LCM of 93748 and 93752.

LCM(93748,93752) = 2³ × 23¹ × 1019¹ × 11719¹
LCM(93748,93752) = 2197265624