What is the Least Common Multiple of 94406 and 94414?

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 94406 and 94414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94406 and 94414, than apply into the LCM equation.

GCF(94406,94414) = 2
LCM(94406,94414) = ( 94406 × 94414) / 2
LCM(94406,94414) = 8913248084 / 2
LCM(94406,94414) = 4456624042

Least Common Multiple (LCM) of 94406 and 94414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94406 and 94414. First we will calculate the prime factors of 94406 and 94414.

Prime Factorization of 94406

Prime Factorization of 94414

Now multiplying the highest exponent prime factors to calculate the LCM of 94406 and 94414.

LCM(94406,94414) = 2¹ × 13¹ × 3631¹ × 47207¹
LCM(94406,94414) = 4456624042