What is the Least Common Multiple of 4920 and 4925?

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 4920 and 4925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4920 and 4925, than apply into the LCM equation.

GCF(4920,4925) = 5
LCM(4920,4925) = ( 4920 × 4925) / 5
LCM(4920,4925) = 24231000 / 5
LCM(4920,4925) = 4846200

Least Common Multiple (LCM) of 4920 and 4925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4920 and 4925. First we will calculate the prime factors of 4920 and 4925.

Prime Factorization of 4920

Prime Factorization of 4925

Now multiplying the highest exponent prime factors to calculate the LCM of 4920 and 4925.

LCM(4920,4925) = 2³ × 3¹ × 5² × 41¹ × 197¹
LCM(4920,4925) = 4846200