What is the Least Common Multiple of 87968 and 87975?

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 87968 and 87975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87968 and 87975, than apply into the LCM equation.

GCF(87968,87975) = 1
LCM(87968,87975) = ( 87968 × 87975) / 1
LCM(87968,87975) = 7738984800 / 1
LCM(87968,87975) = 7738984800

Least Common Multiple (LCM) of 87968 and 87975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87968 and 87975. First we will calculate the prime factors of 87968 and 87975.

Prime Factorization of 87968

Prime Factorization of 87975

Now multiplying the highest exponent prime factors to calculate the LCM of 87968 and 87975.

LCM(87968,87975) = 2⁵ × 2749¹ × 3² × 5² × 17¹ × 23¹
LCM(87968,87975) = 7738984800