What is the Least Common Multiple of 41878 and 41890?

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 41878 and 41890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41878 and 41890, than apply into the LCM equation.

GCF(41878,41890) = 2
LCM(41878,41890) = ( 41878 × 41890) / 2
LCM(41878,41890) = 1754269420 / 2
LCM(41878,41890) = 877134710

Least Common Multiple (LCM) of 41878 and 41890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41878 and 41890. First we will calculate the prime factors of 41878 and 41890.

Prime Factorization of 41878

Prime Factorization of 41890

Now multiplying the highest exponent prime factors to calculate the LCM of 41878 and 41890.

LCM(41878,41890) = 2¹ × 20939¹ × 5¹ × 59¹ × 71¹
LCM(41878,41890) = 877134710