What is the Least Common Multiple of 95794 and 95812?

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 95794 and 95812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95794 and 95812, than apply into the LCM equation.

GCF(95794,95812) = 2
LCM(95794,95812) = ( 95794 × 95812) / 2
LCM(95794,95812) = 9178214728 / 2
LCM(95794,95812) = 4589107364

Least Common Multiple (LCM) of 95794 and 95812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95794 and 95812. First we will calculate the prime factors of 95794 and 95812.

Prime Factorization of 95794

Prime Factorization of 95812

Now multiplying the highest exponent prime factors to calculate the LCM of 95794 and 95812.

LCM(95794,95812) = 2² × 211¹ × 227¹ × 17¹ × 1409¹
LCM(95794,95812) = 4589107364