What is the Least Common Multiple of 66685 and 66700?

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 66685 and 66700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66685 and 66700, than apply into the LCM equation.

GCF(66685,66700) = 5
LCM(66685,66700) = ( 66685 × 66700) / 5
LCM(66685,66700) = 4447889500 / 5
LCM(66685,66700) = 889577900

Least Common Multiple (LCM) of 66685 and 66700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66685 and 66700. First we will calculate the prime factors of 66685 and 66700.

Prime Factorization of 66685

Prime Factorization of 66700

Now multiplying the highest exponent prime factors to calculate the LCM of 66685 and 66700.

LCM(66685,66700) = 5² × 13337¹ × 2² × 23¹ × 29¹
LCM(66685,66700) = 889577900