What is the Least Common Multiple of 67854 and 67860?

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 67860 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 67860, than apply into the LCM equation.

GCF(67854,67860) = 6
LCM(67854,67860) = ( 67854 × 67860) / 6
LCM(67854,67860) = 4604572440 / 6
LCM(67854,67860) = 767428740

Least Common Multiple (LCM) of 67854 and 67860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67854 and 67860. First we will calculate the prime factors of 67854 and 67860.

Prime Factorization of 67854

Prime Factorization of 67860

Now multiplying the highest exponent prime factors to calculate the LCM of 67854 and 67860.

LCM(67854,67860) = 2² × 3² × 43¹ × 263¹ × 5¹ × 13¹ × 29¹
LCM(67854,67860) = 767428740