What is the Least Common Multiple of 45952 and 45964?

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 45952 and 45964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45952 and 45964, than apply into the LCM equation.

GCF(45952,45964) = 4
LCM(45952,45964) = ( 45952 × 45964) / 4
LCM(45952,45964) = 2112137728 / 4
LCM(45952,45964) = 528034432

Least Common Multiple (LCM) of 45952 and 45964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45952 and 45964. First we will calculate the prime factors of 45952 and 45964.

Prime Factorization of 45952

Prime Factorization of 45964

Now multiplying the highest exponent prime factors to calculate the LCM of 45952 and 45964.

LCM(45952,45964) = 2⁷ × 359¹ × 11491¹
LCM(45952,45964) = 528034432