What is the Least Common Multiple of 80757 and 80775?

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 80757 and 80775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80757 and 80775, than apply into the LCM equation.

GCF(80757,80775) = 9
LCM(80757,80775) = ( 80757 × 80775) / 9
LCM(80757,80775) = 6523146675 / 9
LCM(80757,80775) = 724794075

Least Common Multiple (LCM) of 80757 and 80775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80757 and 80775. First we will calculate the prime factors of 80757 and 80775.

Prime Factorization of 80757

Prime Factorization of 80775

Now multiplying the highest exponent prime factors to calculate the LCM of 80757 and 80775.

LCM(80757,80775) = 3⁴ × 997¹ × 5² × 359¹
LCM(80757,80775) = 724794075