What is the Least Common Multiple of 99765 and 99782?

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 99782 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 99782, than apply into the LCM equation.

GCF(99765,99782) = 1
LCM(99765,99782) = ( 99765 × 99782) / 1
LCM(99765,99782) = 9954751230 / 1
LCM(99765,99782) = 9954751230

Least Common Multiple (LCM) of 99765 and 99782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99765 and 99782. First we will calculate the prime factors of 99765 and 99782.

Prime Factorization of 99765

Prime Factorization of 99782

Now multiplying the highest exponent prime factors to calculate the LCM of 99765 and 99782.

LCM(99765,99782) = 3³ × 5¹ × 739¹ × 2¹ × 49891¹
LCM(99765,99782) = 9954751230