What is the Least Common Multiple of 4896 and 4900?

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 4896 and 4900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4896 and 4900, than apply into the LCM equation.

GCF(4896,4900) = 4
LCM(4896,4900) = ( 4896 × 4900) / 4
LCM(4896,4900) = 23990400 / 4
LCM(4896,4900) = 5997600

Least Common Multiple (LCM) of 4896 and 4900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4896 and 4900. First we will calculate the prime factors of 4896 and 4900.

Prime Factorization of 4896

Prime Factorization of 4900

Now multiplying the highest exponent prime factors to calculate the LCM of 4896 and 4900.

LCM(4896,4900) = 2⁵ × 3² × 17¹ × 5² × 7²
LCM(4896,4900) = 5997600