What is the Least Common Multiple of 78267 and 78283?

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 78267 and 78283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78267 and 78283, than apply into the LCM equation.

GCF(78267,78283) = 1
LCM(78267,78283) = ( 78267 × 78283) / 1
LCM(78267,78283) = 6126975561 / 1
LCM(78267,78283) = 6126975561

Least Common Multiple (LCM) of 78267 and 78283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78267 and 78283. First we will calculate the prime factors of 78267 and 78283.

Prime Factorization of 78267

Prime Factorization of 78283

Now multiplying the highest exponent prime factors to calculate the LCM of 78267 and 78283.

LCM(78267,78283) = 3¹ × 7¹ × 3727¹ × 78283¹
LCM(78267,78283) = 6126975561