What is the Least Common Multiple of 51646 and 51659?

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 51646 and 51659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51646 and 51659, than apply into the LCM equation.

GCF(51646,51659) = 1
LCM(51646,51659) = ( 51646 × 51659) / 1
LCM(51646,51659) = 2667980714 / 1
LCM(51646,51659) = 2667980714

Least Common Multiple (LCM) of 51646 and 51659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51646 and 51659. First we will calculate the prime factors of 51646 and 51659.

Prime Factorization of 51646

Prime Factorization of 51659

Now multiplying the highest exponent prime factors to calculate the LCM of 51646 and 51659.

LCM(51646,51659) = 2¹ × 7² × 17¹ × 31¹ × 51659¹
LCM(51646,51659) = 2667980714