What is the Least Common Multiple of 96545 and 96555?

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 96545 and 96555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96545 and 96555, than apply into the LCM equation.

GCF(96545,96555) = 5
LCM(96545,96555) = ( 96545 × 96555) / 5
LCM(96545,96555) = 9321902475 / 5
LCM(96545,96555) = 1864380495

Least Common Multiple (LCM) of 96545 and 96555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96545 and 96555. First we will calculate the prime factors of 96545 and 96555.

Prime Factorization of 96545

Prime Factorization of 96555

Now multiplying the highest exponent prime factors to calculate the LCM of 96545 and 96555.

LCM(96545,96555) = 5¹ × 19309¹ × 3¹ × 41¹ × 157¹
LCM(96545,96555) = 1864380495