What is the Least Common Multiple of 67689 and 67707?

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 67689 and 67707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67689 and 67707, than apply into the LCM equation.

GCF(67689,67707) = 9
LCM(67689,67707) = ( 67689 × 67707) / 9
LCM(67689,67707) = 4583019123 / 9
LCM(67689,67707) = 509224347

Least Common Multiple (LCM) of 67689 and 67707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67689 and 67707. First we will calculate the prime factors of 67689 and 67707.

Prime Factorization of 67689

Prime Factorization of 67707

Now multiplying the highest exponent prime factors to calculate the LCM of 67689 and 67707.

LCM(67689,67707) = 3³ × 23¹ × 109¹ × 7523¹
LCM(67689,67707) = 509224347