What is the Least Common Multiple of 66643 and 66657?

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 66643 and 66657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66643 and 66657, than apply into the LCM equation.

GCF(66643,66657) = 1
LCM(66643,66657) = ( 66643 × 66657) / 1
LCM(66643,66657) = 4442222451 / 1
LCM(66643,66657) = 4442222451

Least Common Multiple (LCM) of 66643 and 66657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66643 and 66657. First we will calculate the prime factors of 66643 and 66657.

Prime Factorization of 66643

Prime Factorization of 66657

Now multiplying the highest exponent prime factors to calculate the LCM of 66643 and 66657.

LCM(66643,66657) = 66643¹ × 3¹ × 17¹ × 1307¹
LCM(66643,66657) = 4442222451