What is the Least Common Multiple of 67878 and 67887?

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 67878 and 67887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67878 and 67887, than apply into the LCM equation.

GCF(67878,67887) = 9
LCM(67878,67887) = ( 67878 × 67887) / 9
LCM(67878,67887) = 4608033786 / 9
LCM(67878,67887) = 512003754

Least Common Multiple (LCM) of 67878 and 67887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67878 and 67887. First we will calculate the prime factors of 67878 and 67887.

Prime Factorization of 67878

Prime Factorization of 67887

Now multiplying the highest exponent prime factors to calculate the LCM of 67878 and 67887.

LCM(67878,67887) = 2¹ × 3⁴ × 419¹ × 19¹ × 397¹
LCM(67878,67887) = 512003754