What is the Least Common Multiple of 41075 and 41080?

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 41075 and 41080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41075 and 41080, than apply into the LCM equation.

GCF(41075,41080) = 5
LCM(41075,41080) = ( 41075 × 41080) / 5
LCM(41075,41080) = 1687361000 / 5
LCM(41075,41080) = 337472200

Least Common Multiple (LCM) of 41075 and 41080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41075 and 41080. First we will calculate the prime factors of 41075 and 41080.

Prime Factorization of 41075

Prime Factorization of 41080

Now multiplying the highest exponent prime factors to calculate the LCM of 41075 and 41080.

LCM(41075,41080) = 5² × 31¹ × 53¹ × 2³ × 13¹ × 79¹
LCM(41075,41080) = 337472200