What is the Least Common Multiple of 99774 and 99787?

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 99774 and 99787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99774 and 99787, than apply into the LCM equation.

GCF(99774,99787) = 1
LCM(99774,99787) = ( 99774 × 99787) / 1
LCM(99774,99787) = 9956148138 / 1
LCM(99774,99787) = 9956148138

Least Common Multiple (LCM) of 99774 and 99787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99774 and 99787. First we will calculate the prime factors of 99774 and 99787.

Prime Factorization of 99774

Prime Factorization of 99787

Now multiplying the highest exponent prime factors to calculate the LCM of 99774 and 99787.

LCM(99774,99787) = 2¹ × 3² × 23¹ × 241¹ × 99787¹
LCM(99774,99787) = 9956148138