What is the Least Common Multiple of 96674 and 96678?

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 96674 and 96678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96674 and 96678, than apply into the LCM equation.

GCF(96674,96678) = 2
LCM(96674,96678) = ( 96674 × 96678) / 2
LCM(96674,96678) = 9346248972 / 2
LCM(96674,96678) = 4673124486

Least Common Multiple (LCM) of 96674 and 96678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96674 and 96678. First we will calculate the prime factors of 96674 and 96678.

Prime Factorization of 96674

Prime Factorization of 96678

Now multiplying the highest exponent prime factors to calculate the LCM of 96674 and 96678.

LCM(96674,96678) = 2¹ × 48337¹ × 3² × 41¹ × 131¹
LCM(96674,96678) = 4673124486