What is the Least Common Multiple of 4960 and 4975?

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 4960 and 4975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4960 and 4975, than apply into the LCM equation.

GCF(4960,4975) = 5
LCM(4960,4975) = ( 4960 × 4975) / 5
LCM(4960,4975) = 24676000 / 5
LCM(4960,4975) = 4935200

Least Common Multiple (LCM) of 4960 and 4975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4960 and 4975. First we will calculate the prime factors of 4960 and 4975.

Prime Factorization of 4960

Prime Factorization of 4975

Now multiplying the highest exponent prime factors to calculate the LCM of 4960 and 4975.

LCM(4960,4975) = 2⁵ × 5² × 31¹ × 199¹
LCM(4960,4975) = 4935200