What is the Least Common Multiple of 99665 and 99685?

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 99665 and 99685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99665 and 99685, than apply into the LCM equation.

GCF(99665,99685) = 5
LCM(99665,99685) = ( 99665 × 99685) / 5
LCM(99665,99685) = 9935105525 / 5
LCM(99665,99685) = 1987021105

Least Common Multiple (LCM) of 99665 and 99685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99665 and 99685. First we will calculate the prime factors of 99665 and 99685.

Prime Factorization of 99665

Prime Factorization of 99685

Now multiplying the highest exponent prime factors to calculate the LCM of 99665 and 99685.

LCM(99665,99685) = 5¹ × 31¹ × 643¹ × 19937¹
LCM(99665,99685) = 1987021105