What is the Least Common Multiple of 67389 and 67407?

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 67389 and 67407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67389 and 67407, than apply into the LCM equation.

GCF(67389,67407) = 3
LCM(67389,67407) = ( 67389 × 67407) / 3
LCM(67389,67407) = 4542490323 / 3
LCM(67389,67407) = 1514163441

Least Common Multiple (LCM) of 67389 and 67407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67389 and 67407. First we will calculate the prime factors of 67389 and 67407.

Prime Factorization of 67389

Prime Factorization of 67407

Now multiplying the highest exponent prime factors to calculate the LCM of 67389 and 67407.

LCM(67389,67407) = 3¹ × 7¹ × 3209¹ × 22469¹
LCM(67389,67407) = 1514163441