What is the Least Common Multiple of 67848 and 67863?

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 67848 and 67863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67848 and 67863, than apply into the LCM equation.

GCF(67848,67863) = 3
LCM(67848,67863) = ( 67848 × 67863) / 3
LCM(67848,67863) = 4604368824 / 3
LCM(67848,67863) = 1534789608

Least Common Multiple (LCM) of 67848 and 67863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67848 and 67863. First we will calculate the prime factors of 67848 and 67863.

Prime Factorization of 67848

Prime Factorization of 67863

Now multiplying the highest exponent prime factors to calculate the LCM of 67848 and 67863.

LCM(67848,67863) = 2³ × 3¹ × 11¹ × 257¹ × 22621¹
LCM(67848,67863) = 1534789608