What is the Least Common Multiple of 50720 and 50740?

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 50720 and 50740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50720 and 50740, than apply into the LCM equation.

GCF(50720,50740) = 20
LCM(50720,50740) = ( 50720 × 50740) / 20
LCM(50720,50740) = 2573532800 / 20
LCM(50720,50740) = 128676640

Least Common Multiple (LCM) of 50720 and 50740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50720 and 50740. First we will calculate the prime factors of 50720 and 50740.

Prime Factorization of 50720

Prime Factorization of 50740

Now multiplying the highest exponent prime factors to calculate the LCM of 50720 and 50740.

LCM(50720,50740) = 2⁵ × 5¹ × 317¹ × 43¹ × 59¹
LCM(50720,50740) = 128676640