What is the Least Common Multiple of 41878 and 41895?

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 41895 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 41895, than apply into the LCM equation.

GCF(41878,41895) = 1
LCM(41878,41895) = ( 41878 × 41895) / 1
LCM(41878,41895) = 1754478810 / 1
LCM(41878,41895) = 1754478810

Least Common Multiple (LCM) of 41878 and 41895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41878 and 41895. First we will calculate the prime factors of 41878 and 41895.

Prime Factorization of 41878

Prime Factorization of 41895

Now multiplying the highest exponent prime factors to calculate the LCM of 41878 and 41895.

LCM(41878,41895) = 2¹ × 20939¹ × 3² × 5¹ × 7² × 19¹
LCM(41878,41895) = 1754478810