What is the Least Common Multiple of 66684 and 66698?

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 66698 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 66698, than apply into the LCM equation.

GCF(66684,66698) = 2
LCM(66684,66698) = ( 66684 × 66698) / 2
LCM(66684,66698) = 4447689432 / 2
LCM(66684,66698) = 2223844716

Least Common Multiple (LCM) of 66684 and 66698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66684 and 66698. First we will calculate the prime factors of 66684 and 66698.

Prime Factorization of 66684

Prime Factorization of 66698

Now multiplying the highest exponent prime factors to calculate the LCM of 66684 and 66698.

LCM(66684,66698) = 2² × 3¹ × 5557¹ × 33349¹
LCM(66684,66698) = 2223844716