What is the Least Common Multiple of 41340 and 41357?

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 41340 and 41357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41340 and 41357, than apply into the LCM equation.

GCF(41340,41357) = 1
LCM(41340,41357) = ( 41340 × 41357) / 1
LCM(41340,41357) = 1709698380 / 1
LCM(41340,41357) = 1709698380

Least Common Multiple (LCM) of 41340 and 41357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41340 and 41357. First we will calculate the prime factors of 41340 and 41357.

Prime Factorization of 41340

Prime Factorization of 41357

Now multiplying the highest exponent prime factors to calculate the LCM of 41340 and 41357.

LCM(41340,41357) = 2² × 3¹ × 5¹ × 13¹ × 53¹ × 41357¹
LCM(41340,41357) = 1709698380