What is the Least Common Multiple of 89508 and 89526?

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 89508 and 89526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89508 and 89526, than apply into the LCM equation.

GCF(89508,89526) = 6
LCM(89508,89526) = ( 89508 × 89526) / 6
LCM(89508,89526) = 8013293208 / 6
LCM(89508,89526) = 1335548868

Least Common Multiple (LCM) of 89508 and 89526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89508 and 89526. First we will calculate the prime factors of 89508 and 89526.

Prime Factorization of 89508

Prime Factorization of 89526

Now multiplying the highest exponent prime factors to calculate the LCM of 89508 and 89526.

LCM(89508,89526) = 2² × 3¹ × 7459¹ × 43¹ × 347¹
LCM(89508,89526) = 1335548868