What is the Least Common Multiple of 67671 and 67689?

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 67671 and 67689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67671 and 67689, than apply into the LCM equation.

GCF(67671,67689) = 9
LCM(67671,67689) = ( 67671 × 67689) / 9
LCM(67671,67689) = 4580582319 / 9
LCM(67671,67689) = 508953591

Least Common Multiple (LCM) of 67671 and 67689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67671 and 67689. First we will calculate the prime factors of 67671 and 67689.

Prime Factorization of 67671

Prime Factorization of 67689

Now multiplying the highest exponent prime factors to calculate the LCM of 67671 and 67689.

LCM(67671,67689) = 3³ × 73¹ × 103¹ × 23¹ × 109¹
LCM(67671,67689) = 508953591