What is the Least Common Multiple of 80563 and 80580?

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 80563 and 80580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80563 and 80580, than apply into the LCM equation.

GCF(80563,80580) = 17
LCM(80563,80580) = ( 80563 × 80580) / 17
LCM(80563,80580) = 6491766540 / 17
LCM(80563,80580) = 381868620

Least Common Multiple (LCM) of 80563 and 80580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80563 and 80580. First we will calculate the prime factors of 80563 and 80580.

Prime Factorization of 80563

Prime Factorization of 80580

Now multiplying the highest exponent prime factors to calculate the LCM of 80563 and 80580.

LCM(80563,80580) = 7¹ × 17¹ × 677¹ × 2² × 3¹ × 5¹ × 79¹
LCM(80563,80580) = 381868620