What is the Least Common Multiple of 9411 and 9420?

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 9411 and 9420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9411 and 9420, than apply into the LCM equation.

GCF(9411,9420) = 3
LCM(9411,9420) = ( 9411 × 9420) / 3
LCM(9411,9420) = 88651620 / 3
LCM(9411,9420) = 29550540

Least Common Multiple (LCM) of 9411 and 9420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9411 and 9420. First we will calculate the prime factors of 9411 and 9420.

Prime Factorization of 9411

Prime Factorization of 9420

Now multiplying the highest exponent prime factors to calculate the LCM of 9411 and 9420.

LCM(9411,9420) = 3¹ × 3137¹ × 2² × 5¹ × 157¹
LCM(9411,9420) = 29550540