What is the Least Common Multiple of 41800 and 41815?

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 41800 and 41815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41800 and 41815, than apply into the LCM equation.

GCF(41800,41815) = 5
LCM(41800,41815) = ( 41800 × 41815) / 5
LCM(41800,41815) = 1747867000 / 5
LCM(41800,41815) = 349573400

Least Common Multiple (LCM) of 41800 and 41815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41800 and 41815. First we will calculate the prime factors of 41800 and 41815.

Prime Factorization of 41800

Prime Factorization of 41815

Now multiplying the highest exponent prime factors to calculate the LCM of 41800 and 41815.

LCM(41800,41815) = 2³ × 5² × 11¹ × 19¹ × 8363¹
LCM(41800,41815) = 349573400