What is the Least Common Multiple of 66674 and 66684?

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 66674 and 66684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66674 and 66684, than apply into the LCM equation.

GCF(66674,66684) = 2
LCM(66674,66684) = ( 66674 × 66684) / 2
LCM(66674,66684) = 4446089016 / 2
LCM(66674,66684) = 2223044508

Least Common Multiple (LCM) of 66674 and 66684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66674 and 66684. First we will calculate the prime factors of 66674 and 66684.

Prime Factorization of 66674

Prime Factorization of 66684

Now multiplying the highest exponent prime factors to calculate the LCM of 66674 and 66684.

LCM(66674,66684) = 2² × 17¹ × 37¹ × 53¹ × 3¹ × 5557¹
LCM(66674,66684) = 2223044508