What is the Least Common Multiple of 87952 and 87972?

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 87952 and 87972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87952 and 87972, than apply into the LCM equation.

GCF(87952,87972) = 4
LCM(87952,87972) = ( 87952 × 87972) / 4
LCM(87952,87972) = 7737313344 / 4
LCM(87952,87972) = 1934328336

Least Common Multiple (LCM) of 87952 and 87972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87952 and 87972. First we will calculate the prime factors of 87952 and 87972.

Prime Factorization of 87952

Prime Factorization of 87972

Now multiplying the highest exponent prime factors to calculate the LCM of 87952 and 87972.

LCM(87952,87972) = 2⁴ × 23¹ × 239¹ × 3¹ × 7331¹
LCM(87952,87972) = 1934328336