What is the Least Common Multiple of 89616 and 89625?

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 89616 and 89625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89616 and 89625, than apply into the LCM equation.

GCF(89616,89625) = 3
LCM(89616,89625) = ( 89616 × 89625) / 3
LCM(89616,89625) = 8031834000 / 3
LCM(89616,89625) = 2677278000

Least Common Multiple (LCM) of 89616 and 89625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89616 and 89625. First we will calculate the prime factors of 89616 and 89625.

Prime Factorization of 89616

Prime Factorization of 89625

Now multiplying the highest exponent prime factors to calculate the LCM of 89616 and 89625.

LCM(89616,89625) = 2⁴ × 3¹ × 1867¹ × 5³ × 239¹
LCM(89616,89625) = 2677278000