What is the Least Common Multiple of 89405 and 89412?

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 89405 and 89412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89405 and 89412, than apply into the LCM equation.

GCF(89405,89412) = 1
LCM(89405,89412) = ( 89405 × 89412) / 1
LCM(89405,89412) = 7993879860 / 1
LCM(89405,89412) = 7993879860

Least Common Multiple (LCM) of 89405 and 89412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89405 and 89412. First we will calculate the prime factors of 89405 and 89412.

Prime Factorization of 89405

Prime Factorization of 89412

Now multiplying the highest exponent prime factors to calculate the LCM of 89405 and 89412.

LCM(89405,89412) = 5¹ × 17881¹ × 2² × 3¹ × 7451¹
LCM(89405,89412) = 7993879860