What is the Least Common Multiple of 66374 and 66392?

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 66374 and 66392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66374 and 66392, than apply into the LCM equation.

GCF(66374,66392) = 2
LCM(66374,66392) = ( 66374 × 66392) / 2
LCM(66374,66392) = 4406702608 / 2
LCM(66374,66392) = 2203351304

Least Common Multiple (LCM) of 66374 and 66392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66374 and 66392. First we will calculate the prime factors of 66374 and 66392.

Prime Factorization of 66374

Prime Factorization of 66392

Now multiplying the highest exponent prime factors to calculate the LCM of 66374 and 66392.

LCM(66374,66392) = 2³ × 7¹ × 11¹ × 431¹ × 43¹ × 193¹
LCM(66374,66392) = 2203351304