What is the Least Common Multiple of 66684 and 66699?

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 66684 and 66699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66684 and 66699, than apply into the LCM equation.

GCF(66684,66699) = 3
LCM(66684,66699) = ( 66684 × 66699) / 3
LCM(66684,66699) = 4447756116 / 3
LCM(66684,66699) = 1482585372

Least Common Multiple (LCM) of 66684 and 66699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66684 and 66699. First we will calculate the prime factors of 66684 and 66699.

Prime Factorization of 66684

Prime Factorization of 66699

Now multiplying the highest exponent prime factors to calculate the LCM of 66684 and 66699.

LCM(66684,66699) = 2² × 3² × 5557¹ × 7411¹
LCM(66684,66699) = 1482585372