What is the Least Common Multiple of 66645 and 66660?

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 66645 and 66660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66645 and 66660, than apply into the LCM equation.

GCF(66645,66660) = 15
LCM(66645,66660) = ( 66645 × 66660) / 15
LCM(66645,66660) = 4442555700 / 15
LCM(66645,66660) = 296170380

Least Common Multiple (LCM) of 66645 and 66660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66645 and 66660. First we will calculate the prime factors of 66645 and 66660.

Prime Factorization of 66645

Prime Factorization of 66660

Now multiplying the highest exponent prime factors to calculate the LCM of 66645 and 66660.

LCM(66645,66660) = 3² × 5¹ × 1481¹ × 2² × 11¹ × 101¹
LCM(66645,66660) = 296170380