What is the Least Common Multiple of 49888 and 49900?

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 49888 and 49900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49888 and 49900, than apply into the LCM equation.

GCF(49888,49900) = 4
LCM(49888,49900) = ( 49888 × 49900) / 4
LCM(49888,49900) = 2489411200 / 4
LCM(49888,49900) = 622352800

Least Common Multiple (LCM) of 49888 and 49900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49888 and 49900. First we will calculate the prime factors of 49888 and 49900.

Prime Factorization of 49888

Prime Factorization of 49900

Now multiplying the highest exponent prime factors to calculate the LCM of 49888 and 49900.

LCM(49888,49900) = 2⁵ × 1559¹ × 5² × 499¹
LCM(49888,49900) = 622352800