What is the Least Common Multiple of 93084 and 93100?

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 93084 and 93100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93084 and 93100, than apply into the LCM equation.

GCF(93084,93100) = 4
LCM(93084,93100) = ( 93084 × 93100) / 4
LCM(93084,93100) = 8666120400 / 4
LCM(93084,93100) = 2166530100

Least Common Multiple (LCM) of 93084 and 93100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93084 and 93100. First we will calculate the prime factors of 93084 and 93100.

Prime Factorization of 93084

Prime Factorization of 93100

Now multiplying the highest exponent prime factors to calculate the LCM of 93084 and 93100.

LCM(93084,93100) = 2² × 3¹ × 7757¹ × 5² × 7² × 19¹
LCM(93084,93100) = 2166530100