What is the Least Common Multiple of 67208 and 67226?

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 67208 and 67226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67208 and 67226, than apply into the LCM equation.

GCF(67208,67226) = 2
LCM(67208,67226) = ( 67208 × 67226) / 2
LCM(67208,67226) = 4518125008 / 2
LCM(67208,67226) = 2259062504

Least Common Multiple (LCM) of 67208 and 67226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67208 and 67226. First we will calculate the prime factors of 67208 and 67226.

Prime Factorization of 67208

Prime Factorization of 67226

Now multiplying the highest exponent prime factors to calculate the LCM of 67208 and 67226.

LCM(67208,67226) = 2³ × 31¹ × 271¹ × 33613¹
LCM(67208,67226) = 2259062504