What is the Least Common Multiple of 72924 and 72944?

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 72924 and 72944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72924 and 72944, than apply into the LCM equation.

GCF(72924,72944) = 4
LCM(72924,72944) = ( 72924 × 72944) / 4
LCM(72924,72944) = 5319368256 / 4
LCM(72924,72944) = 1329842064

Least Common Multiple (LCM) of 72924 and 72944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72924 and 72944. First we will calculate the prime factors of 72924 and 72944.

Prime Factorization of 72924

Prime Factorization of 72944

Now multiplying the highest exponent prime factors to calculate the LCM of 72924 and 72944.

LCM(72924,72944) = 2⁴ × 3¹ × 59¹ × 103¹ × 47¹ × 97¹
LCM(72924,72944) = 1329842064