What is the Least Common Multiple of 66698 and 66718?

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 66698 and 66718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66698 and 66718, than apply into the LCM equation.

GCF(66698,66718) = 2
LCM(66698,66718) = ( 66698 × 66718) / 2
LCM(66698,66718) = 4449957164 / 2
LCM(66698,66718) = 2224978582

Least Common Multiple (LCM) of 66698 and 66718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66698 and 66718. First we will calculate the prime factors of 66698 and 66718.

Prime Factorization of 66698

Prime Factorization of 66718

Now multiplying the highest exponent prime factors to calculate the LCM of 66698 and 66718.

LCM(66698,66718) = 2¹ × 33349¹ × 33359¹
LCM(66698,66718) = 2224978582