What is the Least Common Multiple of 96650 and 96655?

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 96650 and 96655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96650 and 96655, than apply into the LCM equation.

GCF(96650,96655) = 5
LCM(96650,96655) = ( 96650 × 96655) / 5
LCM(96650,96655) = 9341705750 / 5
LCM(96650,96655) = 1868341150

Least Common Multiple (LCM) of 96650 and 96655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96650 and 96655. First we will calculate the prime factors of 96650 and 96655.

Prime Factorization of 96650

Prime Factorization of 96655

Now multiplying the highest exponent prime factors to calculate the LCM of 96650 and 96655.

LCM(96650,96655) = 2¹ × 5² × 1933¹ × 13¹ × 1487¹
LCM(96650,96655) = 1868341150