What is the Least Common Multiple of 50960 and 50975?

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 50960 and 50975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50960 and 50975, than apply into the LCM equation.

GCF(50960,50975) = 5
LCM(50960,50975) = ( 50960 × 50975) / 5
LCM(50960,50975) = 2597686000 / 5
LCM(50960,50975) = 519537200

Least Common Multiple (LCM) of 50960 and 50975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50960 and 50975. First we will calculate the prime factors of 50960 and 50975.

Prime Factorization of 50960

Prime Factorization of 50975

Now multiplying the highest exponent prime factors to calculate the LCM of 50960 and 50975.

LCM(50960,50975) = 2⁴ × 5² × 7² × 13¹ × 2039¹
LCM(50960,50975) = 519537200