What is the Least Common Multiple of 77316 and 77323?

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 77316 and 77323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77316 and 77323, than apply into the LCM equation.

GCF(77316,77323) = 1
LCM(77316,77323) = ( 77316 × 77323) / 1
LCM(77316,77323) = 5978305068 / 1
LCM(77316,77323) = 5978305068

Least Common Multiple (LCM) of 77316 and 77323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77316 and 77323. First we will calculate the prime factors of 77316 and 77323.

Prime Factorization of 77316

Prime Factorization of 77323

Now multiplying the highest exponent prime factors to calculate the LCM of 77316 and 77323.

LCM(77316,77323) = 2² × 3¹ × 17¹ × 379¹ × 77323¹
LCM(77316,77323) = 5978305068