What is the Least Common Multiple of 99678 and 99686?

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 99686 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 99686, than apply into the LCM equation.

GCF(99678,99686) = 2
LCM(99678,99686) = ( 99678 × 99686) / 2
LCM(99678,99686) = 9936501108 / 2
LCM(99678,99686) = 4968250554

Least Common Multiple (LCM) of 99678 and 99686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99678 and 99686. First we will calculate the prime factors of 99678 and 99686.

Prime Factorization of 99678

Prime Factorization of 99686

Now multiplying the highest exponent prime factors to calculate the LCM of 99678 and 99686.

LCM(99678,99686) = 2¹ × 3¹ × 37¹ × 449¹ × 49843¹
LCM(99678,99686) = 4968250554