What is the Least Common Multiple of 41775 and 41780?

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 41775 and 41780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41775 and 41780, than apply into the LCM equation.

GCF(41775,41780) = 5
LCM(41775,41780) = ( 41775 × 41780) / 5
LCM(41775,41780) = 1745359500 / 5
LCM(41775,41780) = 349071900

Least Common Multiple (LCM) of 41775 and 41780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41775 and 41780. First we will calculate the prime factors of 41775 and 41780.

Prime Factorization of 41775

Prime Factorization of 41780

Now multiplying the highest exponent prime factors to calculate the LCM of 41775 and 41780.

LCM(41775,41780) = 3¹ × 5² × 557¹ × 2² × 2089¹
LCM(41775,41780) = 349071900