What is the Least Common Multiple of 94760 and 94774?

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 94760 and 94774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94760 and 94774, than apply into the LCM equation.

GCF(94760,94774) = 2
LCM(94760,94774) = ( 94760 × 94774) / 2
LCM(94760,94774) = 8980784240 / 2
LCM(94760,94774) = 4490392120

Least Common Multiple (LCM) of 94760 and 94774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94760 and 94774. First we will calculate the prime factors of 94760 and 94774.

Prime Factorization of 94760

Prime Factorization of 94774

Now multiplying the highest exponent prime factors to calculate the LCM of 94760 and 94774.

LCM(94760,94774) = 2³ × 5¹ × 23¹ × 103¹ × 47387¹
LCM(94760,94774) = 4490392120