What is the Least Common Multiple of 41790 and 41804?

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 41790 and 41804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41790 and 41804, than apply into the LCM equation.

GCF(41790,41804) = 14
LCM(41790,41804) = ( 41790 × 41804) / 14
LCM(41790,41804) = 1746989160 / 14
LCM(41790,41804) = 124784940

Least Common Multiple (LCM) of 41790 and 41804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41790 and 41804. First we will calculate the prime factors of 41790 and 41804.

Prime Factorization of 41790

Prime Factorization of 41804

Now multiplying the highest exponent prime factors to calculate the LCM of 41790 and 41804.

LCM(41790,41804) = 2² × 3¹ × 5¹ × 7¹ × 199¹ × 1493¹
LCM(41790,41804) = 124784940