What is the Least Common Multiple of 47577 and 47586?

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 47577 and 47586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47577 and 47586, than apply into the LCM equation.

GCF(47577,47586) = 3
LCM(47577,47586) = ( 47577 × 47586) / 3
LCM(47577,47586) = 2263999122 / 3
LCM(47577,47586) = 754666374

Least Common Multiple (LCM) of 47577 and 47586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47577 and 47586. First we will calculate the prime factors of 47577 and 47586.

Prime Factorization of 47577

Prime Factorization of 47586

Now multiplying the highest exponent prime factors to calculate the LCM of 47577 and 47586.

LCM(47577,47586) = 3¹ × 15859¹ × 2¹ × 7¹ × 11¹ × 103¹
LCM(47577,47586) = 754666374