What is the Least Common Multiple of 41590 and 41610?

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 41590 and 41610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41590 and 41610, than apply into the LCM equation.

GCF(41590,41610) = 10
LCM(41590,41610) = ( 41590 × 41610) / 10
LCM(41590,41610) = 1730559900 / 10
LCM(41590,41610) = 173055990

Least Common Multiple (LCM) of 41590 and 41610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41590 and 41610. First we will calculate the prime factors of 41590 and 41610.

Prime Factorization of 41590

Prime Factorization of 41610

Now multiplying the highest exponent prime factors to calculate the LCM of 41590 and 41610.

LCM(41590,41610) = 2¹ × 5¹ × 4159¹ × 3¹ × 19¹ × 73¹
LCM(41590,41610) = 173055990