What is the Least Common Multiple of 99684 and 99693?

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 99693 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 99693, than apply into the LCM equation.

GCF(99684,99693) = 9
LCM(99684,99693) = ( 99684 × 99693) / 9
LCM(99684,99693) = 9937797012 / 9
LCM(99684,99693) = 1104199668

Least Common Multiple (LCM) of 99684 and 99693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99684 and 99693. First we will calculate the prime factors of 99684 and 99693.

Prime Factorization of 99684

Prime Factorization of 99693

Now multiplying the highest exponent prime factors to calculate the LCM of 99684 and 99693.

LCM(99684,99693) = 2² × 3³ × 13¹ × 71¹ × 11¹ × 19¹ × 53¹
LCM(99684,99693) = 1104199668