What is the Least Common Multiple of 44528 and 44537?

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 44528 and 44537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44528 and 44537, than apply into the LCM equation.

GCF(44528,44537) = 1
LCM(44528,44537) = ( 44528 × 44537) / 1
LCM(44528,44537) = 1983143536 / 1
LCM(44528,44537) = 1983143536

Least Common Multiple (LCM) of 44528 and 44537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44528 and 44537. First we will calculate the prime factors of 44528 and 44537.

Prime Factorization of 44528

Prime Factorization of 44537

Now multiplying the highest exponent prime factors to calculate the LCM of 44528 and 44537.

LCM(44528,44537) = 2⁴ × 11² × 23¹ × 44537¹
LCM(44528,44537) = 1983143536