What is the Least Common Multiple of 66660 and 66671?

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 66660 and 66671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66660 and 66671, than apply into the LCM equation.

GCF(66660,66671) = 11
LCM(66660,66671) = ( 66660 × 66671) / 11
LCM(66660,66671) = 4444288860 / 11
LCM(66660,66671) = 404026260

Least Common Multiple (LCM) of 66660 and 66671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66660 and 66671. First we will calculate the prime factors of 66660 and 66671.

Prime Factorization of 66660

Prime Factorization of 66671

Now multiplying the highest exponent prime factors to calculate the LCM of 66660 and 66671.

LCM(66660,66671) = 2² × 3¹ × 5¹ × 11² × 101¹ × 19¹ × 29¹
LCM(66660,66671) = 404026260