What is the Least Common Multiple of 88960 and 88965?

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 88960 and 88965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88960 and 88965, than apply into the LCM equation.

GCF(88960,88965) = 5
LCM(88960,88965) = ( 88960 × 88965) / 5
LCM(88960,88965) = 7914326400 / 5
LCM(88960,88965) = 1582865280

Least Common Multiple (LCM) of 88960 and 88965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88960 and 88965. First we will calculate the prime factors of 88960 and 88965.

Prime Factorization of 88960

Prime Factorization of 88965

Now multiplying the highest exponent prime factors to calculate the LCM of 88960 and 88965.

LCM(88960,88965) = 2⁷ × 5¹ × 139¹ × 3³ × 659¹
LCM(88960,88965) = 1582865280