What is the Least Common Multiple of 45872 and 45882?

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 45882 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 45882, than apply into the LCM equation.

GCF(45872,45882) = 2
LCM(45872,45882) = ( 45872 × 45882) / 2
LCM(45872,45882) = 2104699104 / 2
LCM(45872,45882) = 1052349552

Least Common Multiple (LCM) of 45872 and 45882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45872 and 45882. First we will calculate the prime factors of 45872 and 45882.

Prime Factorization of 45872

Prime Factorization of 45882

Now multiplying the highest exponent prime factors to calculate the LCM of 45872 and 45882.

LCM(45872,45882) = 2⁴ × 47¹ × 61¹ × 3² × 2549¹
LCM(45872,45882) = 1052349552