What is the Least Common Multiple of 99680 and 99688?

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 99680 and 99688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99680 and 99688, than apply into the LCM equation.

GCF(99680,99688) = 8
LCM(99680,99688) = ( 99680 × 99688) / 8
LCM(99680,99688) = 9936899840 / 8
LCM(99680,99688) = 1242112480

Least Common Multiple (LCM) of 99680 and 99688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99680 and 99688. First we will calculate the prime factors of 99680 and 99688.

Prime Factorization of 99680

Prime Factorization of 99688

Now multiplying the highest exponent prime factors to calculate the LCM of 99680 and 99688.

LCM(99680,99688) = 2⁵ × 5¹ × 7¹ × 89¹ × 17¹ × 733¹
LCM(99680,99688) = 1242112480