What is the Least Common Multiple of 44520 and 44528?

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 44520 and 44528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44520 and 44528, than apply into the LCM equation.

GCF(44520,44528) = 8
LCM(44520,44528) = ( 44520 × 44528) / 8
LCM(44520,44528) = 1982386560 / 8
LCM(44520,44528) = 247798320

Least Common Multiple (LCM) of 44520 and 44528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44520 and 44528. First we will calculate the prime factors of 44520 and 44528.

Prime Factorization of 44520

Prime Factorization of 44528

Now multiplying the highest exponent prime factors to calculate the LCM of 44520 and 44528.

LCM(44520,44528) = 2⁴ × 3¹ × 5¹ × 7¹ × 53¹ × 11² × 23¹
LCM(44520,44528) = 247798320