What is the Least Common Multiple of 99688 and 99696?

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 99688 and 99696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99688 and 99696, than apply into the LCM equation.

GCF(99688,99696) = 8
LCM(99688,99696) = ( 99688 × 99696) / 8
LCM(99688,99696) = 9938494848 / 8
LCM(99688,99696) = 1242311856

Least Common Multiple (LCM) of 99688 and 99696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99688 and 99696. First we will calculate the prime factors of 99688 and 99696.

Prime Factorization of 99688

Prime Factorization of 99696

Now multiplying the highest exponent prime factors to calculate the LCM of 99688 and 99696.

LCM(99688,99696) = 2⁴ × 17¹ × 733¹ × 3¹ × 31¹ × 67¹
LCM(99688,99696) = 1242311856