What is the Least Common Multiple of 67311 and 67320?

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 67311 and 67320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67311 and 67320, than apply into the LCM equation.

GCF(67311,67320) = 9
LCM(67311,67320) = ( 67311 × 67320) / 9
LCM(67311,67320) = 4531376520 / 9
LCM(67311,67320) = 503486280

Least Common Multiple (LCM) of 67311 and 67320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67311 and 67320. First we will calculate the prime factors of 67311 and 67320.

Prime Factorization of 67311

Prime Factorization of 67320

Now multiplying the highest exponent prime factors to calculate the LCM of 67311 and 67320.

LCM(67311,67320) = 3⁵ × 277¹ × 2³ × 5¹ × 11¹ × 17¹
LCM(67311,67320) = 503486280