What is the Least Common Multiple of 67284 and 67289?

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 67284 and 67289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67284 and 67289, than apply into the LCM equation.

GCF(67284,67289) = 1
LCM(67284,67289) = ( 67284 × 67289) / 1
LCM(67284,67289) = 4527473076 / 1
LCM(67284,67289) = 4527473076

Least Common Multiple (LCM) of 67284 and 67289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67284 and 67289. First we will calculate the prime factors of 67284 and 67289.

Prime Factorization of 67284

Prime Factorization of 67289

Now multiplying the highest exponent prime factors to calculate the LCM of 67284 and 67289.

LCM(67284,67289) = 2² × 3³ × 7¹ × 89¹ × 67289¹
LCM(67284,67289) = 4527473076