What is the Least Common Multiple of 66660 and 66666?

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 66666 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 66666, than apply into the LCM equation.

GCF(66660,66666) = 6
LCM(66660,66666) = ( 66660 × 66666) / 6
LCM(66660,66666) = 4443955560 / 6
LCM(66660,66666) = 740659260

Least Common Multiple (LCM) of 66660 and 66666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66660 and 66666. First we will calculate the prime factors of 66660 and 66666.

Prime Factorization of 66660

Prime Factorization of 66666

Now multiplying the highest exponent prime factors to calculate the LCM of 66660 and 66666.

LCM(66660,66666) = 2² × 3¹ × 5¹ × 11¹ × 101¹ × 41¹ × 271¹
LCM(66660,66666) = 740659260