What is the Least Common Multiple of 44244 and 44252?

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 44244 and 44252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44244 and 44252, than apply into the LCM equation.

GCF(44244,44252) = 4
LCM(44244,44252) = ( 44244 × 44252) / 4
LCM(44244,44252) = 1957885488 / 4
LCM(44244,44252) = 489471372

Least Common Multiple (LCM) of 44244 and 44252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44244 and 44252. First we will calculate the prime factors of 44244 and 44252.

Prime Factorization of 44244

Prime Factorization of 44252

Now multiplying the highest exponent prime factors to calculate the LCM of 44244 and 44252.

LCM(44244,44252) = 2² × 3² × 1229¹ × 13¹ × 23¹ × 37¹
LCM(44244,44252) = 489471372