What is the Least Common Multiple of 89024 and 89033?

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 89024 and 89033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89024 and 89033, than apply into the LCM equation.

GCF(89024,89033) = 1
LCM(89024,89033) = ( 89024 × 89033) / 1
LCM(89024,89033) = 7926073792 / 1
LCM(89024,89033) = 7926073792

Least Common Multiple (LCM) of 89024 and 89033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89024 and 89033. First we will calculate the prime factors of 89024 and 89033.

Prime Factorization of 89024

Prime Factorization of 89033

Now multiplying the highest exponent prime factors to calculate the LCM of 89024 and 89033.

LCM(89024,89033) = 2⁶ × 13¹ × 107¹ × 7² × 23¹ × 79¹
LCM(89024,89033) = 7926073792