What is the Least Common Multiple of 41875 and 41888?

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 41875 and 41888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41875 and 41888, than apply into the LCM equation.

GCF(41875,41888) = 1
LCM(41875,41888) = ( 41875 × 41888) / 1
LCM(41875,41888) = 1754060000 / 1
LCM(41875,41888) = 1754060000

Least Common Multiple (LCM) of 41875 and 41888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41875 and 41888. First we will calculate the prime factors of 41875 and 41888.

Prime Factorization of 41875

Prime Factorization of 41888

Now multiplying the highest exponent prime factors to calculate the LCM of 41875 and 41888.

LCM(41875,41888) = 5⁴ × 67¹ × 2⁵ × 7¹ × 11¹ × 17¹
LCM(41875,41888) = 1754060000