What is the Least Common Multiple of 66288 and 66297?

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 66288 and 66297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66288 and 66297, than apply into the LCM equation.

GCF(66288,66297) = 3
LCM(66288,66297) = ( 66288 × 66297) / 3
LCM(66288,66297) = 4394695536 / 3
LCM(66288,66297) = 1464898512

Least Common Multiple (LCM) of 66288 and 66297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66288 and 66297. First we will calculate the prime factors of 66288 and 66297.

Prime Factorization of 66288

Prime Factorization of 66297

Now multiplying the highest exponent prime factors to calculate the LCM of 66288 and 66297.

LCM(66288,66297) = 2⁴ × 3¹ × 1381¹ × 7² × 11¹ × 41¹
LCM(66288,66297) = 1464898512