What is the Least Common Multiple of 44523 and 44542?

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 44523 and 44542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44523 and 44542, than apply into the LCM equation.

GCF(44523,44542) = 1
LCM(44523,44542) = ( 44523 × 44542) / 1
LCM(44523,44542) = 1983143466 / 1
LCM(44523,44542) = 1983143466

Least Common Multiple (LCM) of 44523 and 44542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44523 and 44542. First we will calculate the prime factors of 44523 and 44542.

Prime Factorization of 44523

Prime Factorization of 44542

Now multiplying the highest exponent prime factors to calculate the LCM of 44523 and 44542.

LCM(44523,44542) = 3³ × 17¹ × 97¹ × 2¹ × 22271¹
LCM(44523,44542) = 1983143466