What is the Least Common Multiple of 96074 and 96086?

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 96074 and 96086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96074 and 96086, than apply into the LCM equation.

GCF(96074,96086) = 2
LCM(96074,96086) = ( 96074 × 96086) / 2
LCM(96074,96086) = 9231366364 / 2
LCM(96074,96086) = 4615683182

Least Common Multiple (LCM) of 96074 and 96086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96074 and 96086. First we will calculate the prime factors of 96074 and 96086.

Prime Factorization of 96074

Prime Factorization of 96086

Now multiplying the highest exponent prime factors to calculate the LCM of 96074 and 96086.

LCM(96074,96086) = 2¹ × 11² × 397¹ × 107¹ × 449¹
LCM(96074,96086) = 4615683182