What is the Least Common Multiple of 51696 and 51709?

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 51696 and 51709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51696 and 51709, than apply into the LCM equation.

GCF(51696,51709) = 1
LCM(51696,51709) = ( 51696 × 51709) / 1
LCM(51696,51709) = 2673148464 / 1
LCM(51696,51709) = 2673148464

Least Common Multiple (LCM) of 51696 and 51709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51696 and 51709. First we will calculate the prime factors of 51696 and 51709.

Prime Factorization of 51696

Prime Factorization of 51709

Now multiplying the highest exponent prime factors to calculate the LCM of 51696 and 51709.

LCM(51696,51709) = 2⁴ × 3² × 359¹ × 7¹ × 83¹ × 89¹
LCM(51696,51709) = 2673148464