What is the Least Common Multiple of 41406 and 41414?

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 41406 and 41414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41406 and 41414, than apply into the LCM equation.

GCF(41406,41414) = 2
LCM(41406,41414) = ( 41406 × 41414) / 2
LCM(41406,41414) = 1714788084 / 2
LCM(41406,41414) = 857394042

Least Common Multiple (LCM) of 41406 and 41414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41406 and 41414. First we will calculate the prime factors of 41406 and 41414.

Prime Factorization of 41406

Prime Factorization of 41414

Now multiplying the highest exponent prime factors to calculate the LCM of 41406 and 41414.

LCM(41406,41414) = 2¹ × 3¹ × 67¹ × 103¹ × 20707¹
LCM(41406,41414) = 857394042