What is the Least Common Multiple of 65577 and 65581?

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 65577 and 65581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65577 and 65581, than apply into the LCM equation.

GCF(65577,65581) = 1
LCM(65577,65581) = ( 65577 × 65581) / 1
LCM(65577,65581) = 4300605237 / 1
LCM(65577,65581) = 4300605237

Least Common Multiple (LCM) of 65577 and 65581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65577 and 65581. First we will calculate the prime factors of 65577 and 65581.

Prime Factorization of 65577

Prime Factorization of 65581

Now multiplying the highest exponent prime factors to calculate the LCM of 65577 and 65581.

LCM(65577,65581) = 3¹ × 21859¹ × 65581¹
LCM(65577,65581) = 4300605237