What is the Least Common Multiple of 66045 and 66051?

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 66045 and 66051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66045 and 66051, than apply into the LCM equation.

GCF(66045,66051) = 3
LCM(66045,66051) = ( 66045 × 66051) / 3
LCM(66045,66051) = 4362338295 / 3
LCM(66045,66051) = 1454112765

Least Common Multiple (LCM) of 66045 and 66051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66045 and 66051. First we will calculate the prime factors of 66045 and 66051.

Prime Factorization of 66045

Prime Factorization of 66051

Now multiplying the highest exponent prime factors to calculate the LCM of 66045 and 66051.

LCM(66045,66051) = 3² × 5¹ × 7¹ × 17¹ × 37¹ × 41¹ × 179¹
LCM(66045,66051) = 1454112765