What is the Least Common Multiple of 41220 and 41235?

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 41235 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 41235, than apply into the LCM equation.

GCF(41220,41235) = 15
LCM(41220,41235) = ( 41220 × 41235) / 15
LCM(41220,41235) = 1699706700 / 15
LCM(41220,41235) = 113313780

Least Common Multiple (LCM) of 41220 and 41235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41220 and 41235. First we will calculate the prime factors of 41220 and 41235.

Prime Factorization of 41220

Prime Factorization of 41235

Now multiplying the highest exponent prime factors to calculate the LCM of 41220 and 41235.

LCM(41220,41235) = 2² × 3² × 5¹ × 229¹ × 2749¹
LCM(41220,41235) = 113313780