What is the Least Common Multiple of 66605 and 66617?

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 66605 and 66617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66605 and 66617, than apply into the LCM equation.

GCF(66605,66617) = 1
LCM(66605,66617) = ( 66605 × 66617) / 1
LCM(66605,66617) = 4437025285 / 1
LCM(66605,66617) = 4437025285

Least Common Multiple (LCM) of 66605 and 66617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66605 and 66617. First we will calculate the prime factors of 66605 and 66617.

Prime Factorization of 66605

Prime Factorization of 66617

Now multiplying the highest exponent prime factors to calculate the LCM of 66605 and 66617.

LCM(66605,66617) = 5¹ × 7¹ × 11¹ × 173¹ × 66617¹
LCM(66605,66617) = 4437025285