What is the Least Common Multiple of 41895 and 41913?

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 41895 and 41913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41895 and 41913, than apply into the LCM equation.

GCF(41895,41913) = 9
LCM(41895,41913) = ( 41895 × 41913) / 9
LCM(41895,41913) = 1755945135 / 9
LCM(41895,41913) = 195105015

Least Common Multiple (LCM) of 41895 and 41913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41895 and 41913. First we will calculate the prime factors of 41895 and 41913.

Prime Factorization of 41895

Prime Factorization of 41913

Now multiplying the highest exponent prime factors to calculate the LCM of 41895 and 41913.

LCM(41895,41913) = 3² × 5¹ × 7² × 19¹ × 4657¹
LCM(41895,41913) = 195105015