What is the Least Common Multiple of 49875 and 49889?

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 49889 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 49889, than apply into the LCM equation.

GCF(49875,49889) = 7
LCM(49875,49889) = ( 49875 × 49889) / 7
LCM(49875,49889) = 2488213875 / 7
LCM(49875,49889) = 355459125

Least Common Multiple (LCM) of 49875 and 49889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49875 and 49889. First we will calculate the prime factors of 49875 and 49889.

Prime Factorization of 49875

Prime Factorization of 49889

Now multiplying the highest exponent prime factors to calculate the LCM of 49875 and 49889.

LCM(49875,49889) = 3¹ × 5³ × 7¹ × 19¹ × 7127¹
LCM(49875,49889) = 355459125