What is the Least Common Multiple of 99684 and 99694?

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 99684 and 99694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99684 and 99694, than apply into the LCM equation.

GCF(99684,99694) = 2
LCM(99684,99694) = ( 99684 × 99694) / 2
LCM(99684,99694) = 9937896696 / 2
LCM(99684,99694) = 4968948348

Least Common Multiple (LCM) of 99684 and 99694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99684 and 99694. First we will calculate the prime factors of 99684 and 99694.

Prime Factorization of 99684

Prime Factorization of 99694

Now multiplying the highest exponent prime factors to calculate the LCM of 99684 and 99694.

LCM(99684,99694) = 2² × 3³ × 13¹ × 71¹ × 7¹ × 7121¹
LCM(99684,99694) = 4968948348