What is the Least Common Multiple of 51606 and 51613?

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 51606 and 51613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51606 and 51613, than apply into the LCM equation.

GCF(51606,51613) = 1
LCM(51606,51613) = ( 51606 × 51613) / 1
LCM(51606,51613) = 2663540478 / 1
LCM(51606,51613) = 2663540478

Least Common Multiple (LCM) of 51606 and 51613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51606 and 51613. First we will calculate the prime factors of 51606 and 51613.

Prime Factorization of 51606

Prime Factorization of 51613

Now multiplying the highest exponent prime factors to calculate the LCM of 51606 and 51613.

LCM(51606,51613) = 2¹ × 3² × 47¹ × 61¹ × 51613¹
LCM(51606,51613) = 2663540478