What is the Least Common Multiple of 99645 and 99665?

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 99645 and 99665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99645 and 99665, than apply into the LCM equation.

GCF(99645,99665) = 5
LCM(99645,99665) = ( 99645 × 99665) / 5
LCM(99645,99665) = 9931118925 / 5
LCM(99645,99665) = 1986223785

Least Common Multiple (LCM) of 99645 and 99665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99645 and 99665. First we will calculate the prime factors of 99645 and 99665.

Prime Factorization of 99645

Prime Factorization of 99665

Now multiplying the highest exponent prime factors to calculate the LCM of 99645 and 99665.

LCM(99645,99665) = 3¹ × 5¹ × 7¹ × 13¹ × 73¹ × 31¹ × 643¹
LCM(99645,99665) = 1986223785