What is the Least Common Multiple of 87960 and 87971?

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 87971 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 87971, than apply into the LCM equation.

GCF(87960,87971) = 1
LCM(87960,87971) = ( 87960 × 87971) / 1
LCM(87960,87971) = 7737929160 / 1
LCM(87960,87971) = 7737929160

Least Common Multiple (LCM) of 87960 and 87971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87960 and 87971. First we will calculate the prime factors of 87960 and 87971.

Prime Factorization of 87960

Prime Factorization of 87971

Now multiplying the highest exponent prime factors to calculate the LCM of 87960 and 87971.

LCM(87960,87971) = 2³ × 3¹ × 5¹ × 733¹ × 13¹ × 67¹ × 101¹
LCM(87960,87971) = 7737929160