What is the Least Common Multiple of 99742 and 99748?

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 99742 and 99748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99742 and 99748, than apply into the LCM equation.

GCF(99742,99748) = 2
LCM(99742,99748) = ( 99742 × 99748) / 2
LCM(99742,99748) = 9949065016 / 2
LCM(99742,99748) = 4974532508

Least Common Multiple (LCM) of 99742 and 99748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99742 and 99748. First we will calculate the prime factors of 99742 and 99748.

Prime Factorization of 99742

Prime Factorization of 99748

Now multiplying the highest exponent prime factors to calculate the LCM of 99742 and 99748.

LCM(99742,99748) = 2² × 49871¹ × 11¹ × 2267¹
LCM(99742,99748) = 4974532508