What is the Least Common Multiple of 49875 and 49888?

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 49875 and 49888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49875 and 49888, than apply into the LCM equation.

GCF(49875,49888) = 1
LCM(49875,49888) = ( 49875 × 49888) / 1
LCM(49875,49888) = 2488164000 / 1
LCM(49875,49888) = 2488164000

Least Common Multiple (LCM) of 49875 and 49888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49875 and 49888. First we will calculate the prime factors of 49875 and 49888.

Prime Factorization of 49875

Prime Factorization of 49888

Now multiplying the highest exponent prime factors to calculate the LCM of 49875 and 49888.

LCM(49875,49888) = 3¹ × 5³ × 7¹ × 19¹ × 2⁵ × 1559¹
LCM(49875,49888) = 2488164000