What is the Least Common Multiple of 44452 and 44472?

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 44452 and 44472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44452 and 44472, than apply into the LCM equation.

GCF(44452,44472) = 4
LCM(44452,44472) = ( 44452 × 44472) / 4
LCM(44452,44472) = 1976869344 / 4
LCM(44452,44472) = 494217336

Least Common Multiple (LCM) of 44452 and 44472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44452 and 44472. First we will calculate the prime factors of 44452 and 44472.

Prime Factorization of 44452

Prime Factorization of 44472

Now multiplying the highest exponent prime factors to calculate the LCM of 44452 and 44472.

LCM(44452,44472) = 2³ × 11113¹ × 3¹ × 17¹ × 109¹
LCM(44452,44472) = 494217336