What is the Least Common Multiple of 9420 and 9435?

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 9420 and 9435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9420 and 9435, than apply into the LCM equation.

GCF(9420,9435) = 15
LCM(9420,9435) = ( 9420 × 9435) / 15
LCM(9420,9435) = 88877700 / 15
LCM(9420,9435) = 5925180

Least Common Multiple (LCM) of 9420 and 9435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9420 and 9435. First we will calculate the prime factors of 9420 and 9435.

Prime Factorization of 9420

Prime Factorization of 9435

Now multiplying the highest exponent prime factors to calculate the LCM of 9420 and 9435.

LCM(9420,9435) = 2² × 3¹ × 5¹ × 157¹ × 17¹ × 37¹
LCM(9420,9435) = 5925180