What is the Least Common Multiple of 41875 and 41884?

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 41884 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 41884, than apply into the LCM equation.

GCF(41875,41884) = 1
LCM(41875,41884) = ( 41875 × 41884) / 1
LCM(41875,41884) = 1753892500 / 1
LCM(41875,41884) = 1753892500

Least Common Multiple (LCM) of 41875 and 41884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41875 and 41884. First we will calculate the prime factors of 41875 and 41884.

Prime Factorization of 41875

Prime Factorization of 41884

Now multiplying the highest exponent prime factors to calculate the LCM of 41875 and 41884.

LCM(41875,41884) = 5⁴ × 67¹ × 2² × 37¹ × 283¹
LCM(41875,41884) = 1753892500