What is the Least Common Multiple of 45872 and 45884?

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 45872 and 45884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45872 and 45884, than apply into the LCM equation.

GCF(45872,45884) = 4
LCM(45872,45884) = ( 45872 × 45884) / 4
LCM(45872,45884) = 2104790848 / 4
LCM(45872,45884) = 526197712

Least Common Multiple (LCM) of 45872 and 45884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45872 and 45884. First we will calculate the prime factors of 45872 and 45884.

Prime Factorization of 45872

Prime Factorization of 45884

Now multiplying the highest exponent prime factors to calculate the LCM of 45872 and 45884.

LCM(45872,45884) = 2⁴ × 47¹ × 61¹ × 11471¹
LCM(45872,45884) = 526197712