What is the Least Common Multiple of 67854 and 67864?

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 67854 and 67864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67854 and 67864, than apply into the LCM equation.

GCF(67854,67864) = 2
LCM(67854,67864) = ( 67854 × 67864) / 2
LCM(67854,67864) = 4604843856 / 2
LCM(67854,67864) = 2302421928

Least Common Multiple (LCM) of 67854 and 67864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67854 and 67864. First we will calculate the prime factors of 67854 and 67864.

Prime Factorization of 67854

Prime Factorization of 67864

Now multiplying the highest exponent prime factors to calculate the LCM of 67854 and 67864.

LCM(67854,67864) = 2³ × 3¹ × 43¹ × 263¹ × 17¹ × 499¹
LCM(67854,67864) = 2302421928