What is the Least Common Multiple of 24896 and 24900?

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 24896 and 24900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24896 and 24900, than apply into the LCM equation.

GCF(24896,24900) = 4
LCM(24896,24900) = ( 24896 × 24900) / 4
LCM(24896,24900) = 619910400 / 4
LCM(24896,24900) = 154977600

Least Common Multiple (LCM) of 24896 and 24900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24896 and 24900. First we will calculate the prime factors of 24896 and 24900.

Prime Factorization of 24896

Prime Factorization of 24900

Now multiplying the highest exponent prime factors to calculate the LCM of 24896 and 24900.

LCM(24896,24900) = 2⁶ × 389¹ × 3¹ × 5² × 83¹
LCM(24896,24900) = 154977600