What is the Least Common Multiple of 99760 and 99774?

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 99760 and 99774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99760 and 99774, than apply into the LCM equation.

GCF(99760,99774) = 2
LCM(99760,99774) = ( 99760 × 99774) / 2
LCM(99760,99774) = 9953454240 / 2
LCM(99760,99774) = 4976727120

Least Common Multiple (LCM) of 99760 and 99774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99760 and 99774. First we will calculate the prime factors of 99760 and 99774.

Prime Factorization of 99760

Prime Factorization of 99774

Now multiplying the highest exponent prime factors to calculate the LCM of 99760 and 99774.

LCM(99760,99774) = 2⁴ × 5¹ × 29¹ × 43¹ × 3² × 23¹ × 241¹
LCM(99760,99774) = 4976727120