What is the Least Common Multiple of 66336 and 66342?

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 66336 and 66342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66336 and 66342, than apply into the LCM equation.

GCF(66336,66342) = 6
LCM(66336,66342) = ( 66336 × 66342) / 6
LCM(66336,66342) = 4400862912 / 6
LCM(66336,66342) = 733477152

Least Common Multiple (LCM) of 66336 and 66342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66336 and 66342. First we will calculate the prime factors of 66336 and 66342.

Prime Factorization of 66336

Prime Factorization of 66342

Now multiplying the highest exponent prime factors to calculate the LCM of 66336 and 66342.

LCM(66336,66342) = 2⁵ × 3¹ × 691¹ × 11057¹
LCM(66336,66342) = 733477152