What is the Least Common Multiple of 99651 and 99669?

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 99651 and 99669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99651 and 99669, than apply into the LCM equation.

GCF(99651,99669) = 3
LCM(99651,99669) = ( 99651 × 99669) / 3
LCM(99651,99669) = 9932115519 / 3
LCM(99651,99669) = 3310705173

Least Common Multiple (LCM) of 99651 and 99669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99651 and 99669. First we will calculate the prime factors of 99651 and 99669.

Prime Factorization of 99651

Prime Factorization of 99669

Now multiplying the highest exponent prime factors to calculate the LCM of 99651 and 99669.

LCM(99651,99669) = 3¹ × 59¹ × 563¹ × 33223¹
LCM(99651,99669) = 3310705173