What is the Least Common Multiple of 89628 and 89636?

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 89628 and 89636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89628 and 89636, than apply into the LCM equation.

GCF(89628,89636) = 4
LCM(89628,89636) = ( 89628 × 89636) / 4
LCM(89628,89636) = 8033895408 / 4
LCM(89628,89636) = 2008473852

Least Common Multiple (LCM) of 89628 and 89636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89628 and 89636. First we will calculate the prime factors of 89628 and 89636.

Prime Factorization of 89628

Prime Factorization of 89636

Now multiplying the highest exponent prime factors to calculate the LCM of 89628 and 89636.

LCM(89628,89636) = 2² × 3¹ × 7¹ × 11¹ × 97¹ × 22409¹
LCM(89628,89636) = 2008473852