What is the Least Common Multiple of 41875 and 41882?

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 41882 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 41882, than apply into the LCM equation.

GCF(41875,41882) = 1
LCM(41875,41882) = ( 41875 × 41882) / 1
LCM(41875,41882) = 1753808750 / 1
LCM(41875,41882) = 1753808750

Least Common Multiple (LCM) of 41875 and 41882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41875 and 41882. First we will calculate the prime factors of 41875 and 41882.

Prime Factorization of 41875

Prime Factorization of 41882

Now multiplying the highest exponent prime factors to calculate the LCM of 41875 and 41882.

LCM(41875,41882) = 5⁴ × 67¹ × 2¹ × 43¹ × 487¹
LCM(41875,41882) = 1753808750