What is the Least Common Multiple of 30684 and 30699?

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 30684 and 30699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30684 and 30699, than apply into the LCM equation.

GCF(30684,30699) = 3
LCM(30684,30699) = ( 30684 × 30699) / 3
LCM(30684,30699) = 941968116 / 3
LCM(30684,30699) = 313989372

Least Common Multiple (LCM) of 30684 and 30699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30684 and 30699. First we will calculate the prime factors of 30684 and 30699.

Prime Factorization of 30684

Prime Factorization of 30699

Now multiplying the highest exponent prime factors to calculate the LCM of 30684 and 30699.

LCM(30684,30699) = 2² × 3⁴ × 2557¹ × 379¹
LCM(30684,30699) = 313989372