What is the Least Common Multiple of 93965 and 93980?

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 93965 and 93980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93965 and 93980, than apply into the LCM equation.

GCF(93965,93980) = 5
LCM(93965,93980) = ( 93965 × 93980) / 5
LCM(93965,93980) = 8830830700 / 5
LCM(93965,93980) = 1766166140

Least Common Multiple (LCM) of 93965 and 93980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93965 and 93980. First we will calculate the prime factors of 93965 and 93980.

Prime Factorization of 93965

Prime Factorization of 93980

Now multiplying the highest exponent prime factors to calculate the LCM of 93965 and 93980.

LCM(93965,93980) = 5¹ × 18793¹ × 2² × 37¹ × 127¹
LCM(93965,93980) = 1766166140