What is the Least Common Multiple of 88940 and 88952?

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 88940 and 88952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88940 and 88952, than apply into the LCM equation.

GCF(88940,88952) = 4
LCM(88940,88952) = ( 88940 × 88952) / 4
LCM(88940,88952) = 7911390880 / 4
LCM(88940,88952) = 1977847720

Least Common Multiple (LCM) of 88940 and 88952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88940 and 88952. First we will calculate the prime factors of 88940 and 88952.

Prime Factorization of 88940

Prime Factorization of 88952

Now multiplying the highest exponent prime factors to calculate the LCM of 88940 and 88952.

LCM(88940,88952) = 2³ × 5¹ × 4447¹ × 11119¹
LCM(88940,88952) = 1977847720