What is the Least Common Multiple of 89406 and 89414?

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 89406 and 89414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89406 and 89414, than apply into the LCM equation.

GCF(89406,89414) = 2
LCM(89406,89414) = ( 89406 × 89414) / 2
LCM(89406,89414) = 7994148084 / 2
LCM(89406,89414) = 3997074042

Least Common Multiple (LCM) of 89406 and 89414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89406 and 89414. First we will calculate the prime factors of 89406 and 89414.

Prime Factorization of 89406

Prime Factorization of 89414

Now multiplying the highest exponent prime factors to calculate the LCM of 89406 and 89414.

LCM(89406,89414) = 2¹ × 3² × 4967¹ × 13¹ × 19¹ × 181¹
LCM(89406,89414) = 3997074042