What is the Least Common Multiple of 51653 and 51668?

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 51653 and 51668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51653 and 51668, than apply into the LCM equation.

GCF(51653,51668) = 1
LCM(51653,51668) = ( 51653 × 51668) / 1
LCM(51653,51668) = 2668807204 / 1
LCM(51653,51668) = 2668807204

Least Common Multiple (LCM) of 51653 and 51668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51653 and 51668. First we will calculate the prime factors of 51653 and 51668.

Prime Factorization of 51653

Prime Factorization of 51668

Now multiplying the highest exponent prime factors to calculate the LCM of 51653 and 51668.

LCM(51653,51668) = 7¹ × 47¹ × 157¹ × 2² × 12917¹
LCM(51653,51668) = 2668807204