What is the Least Common Multiple of 66192 and 66204?

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 66192 and 66204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66192 and 66204, than apply into the LCM equation.

GCF(66192,66204) = 12
LCM(66192,66204) = ( 66192 × 66204) / 12
LCM(66192,66204) = 4382175168 / 12
LCM(66192,66204) = 365181264

Least Common Multiple (LCM) of 66192 and 66204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66192 and 66204. First we will calculate the prime factors of 66192 and 66204.

Prime Factorization of 66192

Prime Factorization of 66204

Now multiplying the highest exponent prime factors to calculate the LCM of 66192 and 66204.

LCM(66192,66204) = 2⁴ × 3³ × 7¹ × 197¹ × 613¹
LCM(66192,66204) = 365181264