What is the Least Common Multiple of 41780 and 41795?

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 41780 and 41795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41780 and 41795, than apply into the LCM equation.

GCF(41780,41795) = 5
LCM(41780,41795) = ( 41780 × 41795) / 5
LCM(41780,41795) = 1746195100 / 5
LCM(41780,41795) = 349239020

Least Common Multiple (LCM) of 41780 and 41795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41780 and 41795. First we will calculate the prime factors of 41780 and 41795.

Prime Factorization of 41780

Prime Factorization of 41795

Now multiplying the highest exponent prime factors to calculate the LCM of 41780 and 41795.

LCM(41780,41795) = 2² × 5¹ × 2089¹ × 13¹ × 643¹
LCM(41780,41795) = 349239020