What is the Least Common Multiple of 76310 and 76327?

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 76310 and 76327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76310 and 76327, than apply into the LCM equation.

GCF(76310,76327) = 1
LCM(76310,76327) = ( 76310 × 76327) / 1
LCM(76310,76327) = 5824513370 / 1
LCM(76310,76327) = 5824513370

Least Common Multiple (LCM) of 76310 and 76327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76310 and 76327. First we will calculate the prime factors of 76310 and 76327.

Prime Factorization of 76310

Prime Factorization of 76327

Now multiplying the highest exponent prime factors to calculate the LCM of 76310 and 76327.

LCM(76310,76327) = 2¹ × 5¹ × 13¹ × 587¹ × 127¹ × 601¹
LCM(76310,76327) = 5824513370