What is the Least Common Multiple of 81575 and 81580?

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 81575 and 81580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81575 and 81580, than apply into the LCM equation.

GCF(81575,81580) = 5
LCM(81575,81580) = ( 81575 × 81580) / 5
LCM(81575,81580) = 6654888500 / 5
LCM(81575,81580) = 1330977700

Least Common Multiple (LCM) of 81575 and 81580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81575 and 81580. First we will calculate the prime factors of 81575 and 81580.

Prime Factorization of 81575

Prime Factorization of 81580

Now multiplying the highest exponent prime factors to calculate the LCM of 81575 and 81580.

LCM(81575,81580) = 5² × 13¹ × 251¹ × 2² × 4079¹
LCM(81575,81580) = 1330977700