What is the Least Common Multiple of 44478 and 44492?

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 44478 and 44492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44478 and 44492, than apply into the LCM equation.

GCF(44478,44492) = 14
LCM(44478,44492) = ( 44478 × 44492) / 14
LCM(44478,44492) = 1978915176 / 14
LCM(44478,44492) = 141351084

Least Common Multiple (LCM) of 44478 and 44492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44478 and 44492. First we will calculate the prime factors of 44478 and 44492.

Prime Factorization of 44478

Prime Factorization of 44492

Now multiplying the highest exponent prime factors to calculate the LCM of 44478 and 44492.

LCM(44478,44492) = 2² × 3² × 7² × 353¹ × 227¹
LCM(44478,44492) = 141351084