What is the Least Common Multiple of 50696 and 50709?

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 50696 and 50709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50696 and 50709, than apply into the LCM equation.

GCF(50696,50709) = 1
LCM(50696,50709) = ( 50696 × 50709) / 1
LCM(50696,50709) = 2570743464 / 1
LCM(50696,50709) = 2570743464

Least Common Multiple (LCM) of 50696 and 50709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50696 and 50709. First we will calculate the prime factors of 50696 and 50709.

Prime Factorization of 50696

Prime Factorization of 50709

Now multiplying the highest exponent prime factors to calculate the LCM of 50696 and 50709.

LCM(50696,50709) = 2³ × 6337¹ × 3¹ × 16903¹
LCM(50696,50709) = 2570743464