What is the Least Common Multiple of 41220 and 41226?

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 41220 and 41226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41220 and 41226, than apply into the LCM equation.

GCF(41220,41226) = 6
LCM(41220,41226) = ( 41220 × 41226) / 6
LCM(41220,41226) = 1699335720 / 6
LCM(41220,41226) = 283222620

Least Common Multiple (LCM) of 41220 and 41226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41220 and 41226. First we will calculate the prime factors of 41220 and 41226.

Prime Factorization of 41220

Prime Factorization of 41226

Now multiplying the highest exponent prime factors to calculate the LCM of 41220 and 41226.

LCM(41220,41226) = 2² × 3² × 5¹ × 229¹ × 6871¹
LCM(41220,41226) = 283222620