What is the Least Common Multiple of 39684 and 39699?

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 39684 and 39699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39684 and 39699, than apply into the LCM equation.

GCF(39684,39699) = 3
LCM(39684,39699) = ( 39684 × 39699) / 3
LCM(39684,39699) = 1575415116 / 3
LCM(39684,39699) = 525138372

Least Common Multiple (LCM) of 39684 and 39699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39684 and 39699. First we will calculate the prime factors of 39684 and 39699.

Prime Factorization of 39684

Prime Factorization of 39699

Now multiplying the highest exponent prime factors to calculate the LCM of 39684 and 39699.

LCM(39684,39699) = 2² × 3² × 3307¹ × 11¹ × 401¹
LCM(39684,39699) = 525138372