What is the Least Common Multiple of 89674 and 89678?

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 89674 and 89678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89674 and 89678, than apply into the LCM equation.

GCF(89674,89678) = 2
LCM(89674,89678) = ( 89674 × 89678) / 2
LCM(89674,89678) = 8041784972 / 2
LCM(89674,89678) = 4020892486

Least Common Multiple (LCM) of 89674 and 89678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89674 and 89678. First we will calculate the prime factors of 89674 and 89678.

Prime Factorization of 89674

Prime Factorization of 89678

Now multiplying the highest exponent prime factors to calculate the LCM of 89674 and 89678.

LCM(89674,89678) = 2¹ × 13¹ × 3449¹ × 44839¹
LCM(89674,89678) = 4020892486