What is the Least Common Multiple of 41370 and 41379?

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 41370 and 41379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41370 and 41379, than apply into the LCM equation.

GCF(41370,41379) = 3
LCM(41370,41379) = ( 41370 × 41379) / 3
LCM(41370,41379) = 1711849230 / 3
LCM(41370,41379) = 570616410

Least Common Multiple (LCM) of 41370 and 41379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41370 and 41379. First we will calculate the prime factors of 41370 and 41379.

Prime Factorization of 41370

Prime Factorization of 41379

Now multiplying the highest exponent prime factors to calculate the LCM of 41370 and 41379.

LCM(41370,41379) = 2¹ × 3¹ × 5¹ × 7¹ × 197¹ × 13¹ × 1061¹
LCM(41370,41379) = 570616410