What is the Least Common Multiple of 66666 and 66673?

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 66666 and 66673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66666 and 66673, than apply into the LCM equation.

GCF(66666,66673) = 1
LCM(66666,66673) = ( 66666 × 66673) / 1
LCM(66666,66673) = 4444822218 / 1
LCM(66666,66673) = 4444822218

Least Common Multiple (LCM) of 66666 and 66673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66666 and 66673. First we will calculate the prime factors of 66666 and 66673.

Prime Factorization of 66666

Prime Factorization of 66673

Now multiplying the highest exponent prime factors to calculate the LCM of 66666 and 66673.

LCM(66666,66673) = 2¹ × 3¹ × 41¹ × 271¹ × 61¹ × 1093¹
LCM(66666,66673) = 4444822218