What is the Least Common Multiple of 51659 and 51679?

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 51659 and 51679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51659 and 51679, than apply into the LCM equation.

GCF(51659,51679) = 1
LCM(51659,51679) = ( 51659 × 51679) / 1
LCM(51659,51679) = 2669685461 / 1
LCM(51659,51679) = 2669685461

Least Common Multiple (LCM) of 51659 and 51679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51659 and 51679. First we will calculate the prime factors of 51659 and 51679.

Prime Factorization of 51659

Prime Factorization of 51679

Now multiplying the highest exponent prime factors to calculate the LCM of 51659 and 51679.

LCM(51659,51679) = 51659¹ × 51679¹
LCM(51659,51679) = 2669685461