What is the Least Common Multiple of 66135 and 66141?

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 66135 and 66141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66135 and 66141, than apply into the LCM equation.

GCF(66135,66141) = 3
LCM(66135,66141) = ( 66135 × 66141) / 3
LCM(66135,66141) = 4374235035 / 3
LCM(66135,66141) = 1458078345

Least Common Multiple (LCM) of 66135 and 66141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66135 and 66141. First we will calculate the prime factors of 66135 and 66141.

Prime Factorization of 66135

Prime Factorization of 66141

Now multiplying the highest exponent prime factors to calculate the LCM of 66135 and 66141.

LCM(66135,66141) = 3² × 5¹ × 4409¹ × 7349¹
LCM(66135,66141) = 1458078345