What is the Least Common Multiple of 50646 and 50656?

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 50646 and 50656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50646 and 50656, than apply into the LCM equation.

GCF(50646,50656) = 2
LCM(50646,50656) = ( 50646 × 50656) / 2
LCM(50646,50656) = 2565523776 / 2
LCM(50646,50656) = 1282761888

Least Common Multiple (LCM) of 50646 and 50656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50646 and 50656. First we will calculate the prime factors of 50646 and 50656.

Prime Factorization of 50646

Prime Factorization of 50656

Now multiplying the highest exponent prime factors to calculate the LCM of 50646 and 50656.

LCM(50646,50656) = 2⁵ × 3¹ × 23¹ × 367¹ × 1583¹
LCM(50646,50656) = 1282761888