What is the Least Common Multiple of 77268 and 77283?

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 77268 and 77283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77268 and 77283, than apply into the LCM equation.

GCF(77268,77283) = 3
LCM(77268,77283) = ( 77268 × 77283) / 3
LCM(77268,77283) = 5971502844 / 3
LCM(77268,77283) = 1990500948

Least Common Multiple (LCM) of 77268 and 77283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77268 and 77283. First we will calculate the prime factors of 77268 and 77283.

Prime Factorization of 77268

Prime Factorization of 77283

Now multiplying the highest exponent prime factors to calculate the LCM of 77268 and 77283.

LCM(77268,77283) = 2² × 3² × 47¹ × 137¹ × 31¹ × 277¹
LCM(77268,77283) = 1990500948