What is the Least Common Multiple of 96050 and 96067?

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 96050 and 96067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96050 and 96067, than apply into the LCM equation.

GCF(96050,96067) = 17
LCM(96050,96067) = ( 96050 × 96067) / 17
LCM(96050,96067) = 9227235350 / 17
LCM(96050,96067) = 542778550

Least Common Multiple (LCM) of 96050 and 96067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96050 and 96067. First we will calculate the prime factors of 96050 and 96067.

Prime Factorization of 96050

Prime Factorization of 96067

Now multiplying the highest exponent prime factors to calculate the LCM of 96050 and 96067.

LCM(96050,96067) = 2¹ × 5² × 17¹ × 113¹ × 5651¹
LCM(96050,96067) = 542778550