What is the Least Common Multiple of 99678 and 99684?

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 99678 and 99684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99678 and 99684, than apply into the LCM equation.

GCF(99678,99684) = 6
LCM(99678,99684) = ( 99678 × 99684) / 6
LCM(99678,99684) = 9936301752 / 6
LCM(99678,99684) = 1656050292

Least Common Multiple (LCM) of 99678 and 99684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99678 and 99684. First we will calculate the prime factors of 99678 and 99684.

Prime Factorization of 99678

Prime Factorization of 99684

Now multiplying the highest exponent prime factors to calculate the LCM of 99678 and 99684.

LCM(99678,99684) = 2² × 3³ × 37¹ × 449¹ × 13¹ × 71¹
LCM(99678,99684) = 1656050292