What is the Least Common Multiple of 80512 and 80528?

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 80512 and 80528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80512 and 80528, than apply into the LCM equation.

GCF(80512,80528) = 16
LCM(80512,80528) = ( 80512 × 80528) / 16
LCM(80512,80528) = 6483470336 / 16
LCM(80512,80528) = 405216896

Least Common Multiple (LCM) of 80512 and 80528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80512 and 80528. First we will calculate the prime factors of 80512 and 80528.

Prime Factorization of 80512

Prime Factorization of 80528

Now multiplying the highest exponent prime factors to calculate the LCM of 80512 and 80528.

LCM(80512,80528) = 2⁷ × 17¹ × 37¹ × 7¹ × 719¹
LCM(80512,80528) = 405216896