What is the Least Common Multiple of 44148 and 44162?

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 44148 and 44162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44148 and 44162, than apply into the LCM equation.

GCF(44148,44162) = 2
LCM(44148,44162) = ( 44148 × 44162) / 2
LCM(44148,44162) = 1949663976 / 2
LCM(44148,44162) = 974831988

Least Common Multiple (LCM) of 44148 and 44162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44148 and 44162. First we will calculate the prime factors of 44148 and 44162.

Prime Factorization of 44148

Prime Factorization of 44162

Now multiplying the highest exponent prime factors to calculate the LCM of 44148 and 44162.

LCM(44148,44162) = 2² × 3¹ × 13¹ × 283¹ × 71¹ × 311¹
LCM(44148,44162) = 974831988