What is the Least Common Multiple of 44252 and 44272?

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 44252 and 44272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44252 and 44272, than apply into the LCM equation.

GCF(44252,44272) = 4
LCM(44252,44272) = ( 44252 × 44272) / 4
LCM(44252,44272) = 1959124544 / 4
LCM(44252,44272) = 489781136

Least Common Multiple (LCM) of 44252 and 44272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44252 and 44272. First we will calculate the prime factors of 44252 and 44272.

Prime Factorization of 44252

Prime Factorization of 44272

Now multiplying the highest exponent prime factors to calculate the LCM of 44252 and 44272.

LCM(44252,44272) = 2⁴ × 13¹ × 23¹ × 37¹ × 2767¹
LCM(44252,44272) = 489781136