What is the Least Common Multiple of 66288 and 66307?

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 66307 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 66307, than apply into the LCM equation.

GCF(66288,66307) = 1
LCM(66288,66307) = ( 66288 × 66307) / 1
LCM(66288,66307) = 4395358416 / 1
LCM(66288,66307) = 4395358416

Least Common Multiple (LCM) of 66288 and 66307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66288 and 66307. First we will calculate the prime factors of 66288 and 66307.

Prime Factorization of 66288

Prime Factorization of 66307

Now multiplying the highest exponent prime factors to calculate the LCM of 66288 and 66307.

LCM(66288,66307) = 2⁴ × 3¹ × 1381¹ × 61¹ × 1087¹
LCM(66288,66307) = 4395358416