What is the Least Common Multiple of 44212 and 44232?

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 44212 and 44232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44212 and 44232, than apply into the LCM equation.

GCF(44212,44232) = 4
LCM(44212,44232) = ( 44212 × 44232) / 4
LCM(44212,44232) = 1955585184 / 4
LCM(44212,44232) = 488896296

Least Common Multiple (LCM) of 44212 and 44232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44212 and 44232. First we will calculate the prime factors of 44212 and 44232.

Prime Factorization of 44212

Prime Factorization of 44232

Now multiplying the highest exponent prime factors to calculate the LCM of 44212 and 44232.

LCM(44212,44232) = 2³ × 7¹ × 1579¹ × 3¹ × 19¹ × 97¹
LCM(44212,44232) = 488896296