What is the Least Common Multiple of 67269 and 67273?

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 67269 and 67273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67269 and 67273, than apply into the LCM equation.

GCF(67269,67273) = 1
LCM(67269,67273) = ( 67269 × 67273) / 1
LCM(67269,67273) = 4525387437 / 1
LCM(67269,67273) = 4525387437

Least Common Multiple (LCM) of 67269 and 67273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67269 and 67273. First we will calculate the prime factors of 67269 and 67273.

Prime Factorization of 67269

Prime Factorization of 67273

Now multiplying the highest exponent prime factors to calculate the LCM of 67269 and 67273.

LCM(67269,67273) = 3¹ × 17¹ × 1319¹ × 67273¹
LCM(67269,67273) = 4525387437