What is the Least Common Multiple of 87960 and 87965?

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 87960 and 87965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87960 and 87965, than apply into the LCM equation.

GCF(87960,87965) = 5
LCM(87960,87965) = ( 87960 × 87965) / 5
LCM(87960,87965) = 7737401400 / 5
LCM(87960,87965) = 1547480280

Least Common Multiple (LCM) of 87960 and 87965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87960 and 87965. First we will calculate the prime factors of 87960 and 87965.

Prime Factorization of 87960

Prime Factorization of 87965

Now multiplying the highest exponent prime factors to calculate the LCM of 87960 and 87965.

LCM(87960,87965) = 2³ × 3¹ × 5¹ × 733¹ × 73¹ × 241¹
LCM(87960,87965) = 1547480280