What is the Least Common Multiple of 66278 and 66288?

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 66278 and 66288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66278 and 66288, than apply into the LCM equation.

GCF(66278,66288) = 2
LCM(66278,66288) = ( 66278 × 66288) / 2
LCM(66278,66288) = 4393436064 / 2
LCM(66278,66288) = 2196718032

Least Common Multiple (LCM) of 66278 and 66288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66278 and 66288. First we will calculate the prime factors of 66278 and 66288.

Prime Factorization of 66278

Prime Factorization of 66288

Now multiplying the highest exponent prime factors to calculate the LCM of 66278 and 66288.

LCM(66278,66288) = 2⁴ × 31¹ × 1069¹ × 3¹ × 1381¹
LCM(66278,66288) = 2196718032