What is the Least Common Multiple of 89412 and 89421?

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 89412 and 89421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89412 and 89421, than apply into the LCM equation.

GCF(89412,89421) = 3
LCM(89412,89421) = ( 89412 × 89421) / 3
LCM(89412,89421) = 7995310452 / 3
LCM(89412,89421) = 2665103484

Least Common Multiple (LCM) of 89412 and 89421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89412 and 89421. First we will calculate the prime factors of 89412 and 89421.

Prime Factorization of 89412

Prime Factorization of 89421

Now multiplying the highest exponent prime factors to calculate the LCM of 89412 and 89421.

LCM(89412,89421) = 2² × 3¹ × 7451¹ × 41¹ × 727¹
LCM(89412,89421) = 2665103484