What is the Least Common Multiple of 99616 and 99634?

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 99616 and 99634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99616 and 99634, than apply into the LCM equation.

GCF(99616,99634) = 2
LCM(99616,99634) = ( 99616 × 99634) / 2
LCM(99616,99634) = 9925140544 / 2
LCM(99616,99634) = 4962570272

Least Common Multiple (LCM) of 99616 and 99634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99616 and 99634. First we will calculate the prime factors of 99616 and 99634.

Prime Factorization of 99616

Prime Factorization of 99634

Now multiplying the highest exponent prime factors to calculate the LCM of 99616 and 99634.

LCM(99616,99634) = 2⁵ × 11¹ × 283¹ × 31¹ × 1607¹
LCM(99616,99634) = 4962570272