What is the Least Common Multiple of 9084 and 9101?

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 9084 and 9101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9084 and 9101, than apply into the LCM equation.

GCF(9084,9101) = 1
LCM(9084,9101) = ( 9084 × 9101) / 1
LCM(9084,9101) = 82673484 / 1
LCM(9084,9101) = 82673484

Least Common Multiple (LCM) of 9084 and 9101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9084 and 9101. First we will calculate the prime factors of 9084 and 9101.

Prime Factorization of 9084

Prime Factorization of 9101

Now multiplying the highest exponent prime factors to calculate the LCM of 9084 and 9101.

LCM(9084,9101) = 2² × 3¹ × 757¹ × 19¹ × 479¹
LCM(9084,9101) = 82673484