What is the Least Common Multiple of 99765 and 99771?

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 99765 and 99771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99765 and 99771, than apply into the LCM equation.

GCF(99765,99771) = 3
LCM(99765,99771) = ( 99765 × 99771) / 3
LCM(99765,99771) = 9953653815 / 3
LCM(99765,99771) = 3317884605

Least Common Multiple (LCM) of 99765 and 99771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99765 and 99771. First we will calculate the prime factors of 99765 and 99771.

Prime Factorization of 99765

Prime Factorization of 99771

Now multiplying the highest exponent prime factors to calculate the LCM of 99765 and 99771.

LCM(99765,99771) = 3³ × 5¹ × 739¹ × 7¹ × 4751¹
LCM(99765,99771) = 3317884605