What is the Least Common Multiple of 96074 and 96085?

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 96085 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 96085, than apply into the LCM equation.

GCF(96074,96085) = 11
LCM(96074,96085) = ( 96074 × 96085) / 11
LCM(96074,96085) = 9231270290 / 11
LCM(96074,96085) = 839206390

Least Common Multiple (LCM) of 96074 and 96085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96074 and 96085. First we will calculate the prime factors of 96074 and 96085.

Prime Factorization of 96074

Prime Factorization of 96085

Now multiplying the highest exponent prime factors to calculate the LCM of 96074 and 96085.

LCM(96074,96085) = 2¹ × 11² × 397¹ × 5¹ × 1747¹
LCM(96074,96085) = 839206390