What is the Least Common Multiple of 95794 and 95814?

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 95814 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 95814, than apply into the LCM equation.

GCF(95794,95814) = 2
LCM(95794,95814) = ( 95794 × 95814) / 2
LCM(95794,95814) = 9178406316 / 2
LCM(95794,95814) = 4589203158

Least Common Multiple (LCM) of 95794 and 95814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95794 and 95814. First we will calculate the prime factors of 95794 and 95814.

Prime Factorization of 95794

Prime Factorization of 95814

Now multiplying the highest exponent prime factors to calculate the LCM of 95794 and 95814.

LCM(95794,95814) = 2¹ × 211¹ × 227¹ × 3² × 5323¹
LCM(95794,95814) = 4589203158