What is the Least Common Multiple of 66342 and 66360?

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 66342 and 66360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66342 and 66360, than apply into the LCM equation.

GCF(66342,66360) = 6
LCM(66342,66360) = ( 66342 × 66360) / 6
LCM(66342,66360) = 4402455120 / 6
LCM(66342,66360) = 733742520

Least Common Multiple (LCM) of 66342 and 66360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66342 and 66360. First we will calculate the prime factors of 66342 and 66360.

Prime Factorization of 66342

Prime Factorization of 66360

Now multiplying the highest exponent prime factors to calculate the LCM of 66342 and 66360.

LCM(66342,66360) = 2³ × 3¹ × 11057¹ × 5¹ × 7¹ × 79¹
LCM(66342,66360) = 733742520