What is the Least Common Multiple of 78310 and 78327?

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 78310 and 78327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78310 and 78327, than apply into the LCM equation.

GCF(78310,78327) = 1
LCM(78310,78327) = ( 78310 × 78327) / 1
LCM(78310,78327) = 6133787370 / 1
LCM(78310,78327) = 6133787370

Least Common Multiple (LCM) of 78310 and 78327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78310 and 78327. First we will calculate the prime factors of 78310 and 78327.

Prime Factorization of 78310

Prime Factorization of 78327

Now multiplying the highest exponent prime factors to calculate the LCM of 78310 and 78327.

LCM(78310,78327) = 2¹ × 5¹ × 41¹ × 191¹ × 3⁴ × 967¹
LCM(78310,78327) = 6133787370