What is the Least Common Multiple of 67208 and 67222?

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 67222 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 67222, than apply into the LCM equation.

GCF(67208,67222) = 2
LCM(67208,67222) = ( 67208 × 67222) / 2
LCM(67208,67222) = 4517856176 / 2
LCM(67208,67222) = 2258928088

Least Common Multiple (LCM) of 67208 and 67222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67208 and 67222. First we will calculate the prime factors of 67208 and 67222.

Prime Factorization of 67208

Prime Factorization of 67222

Now multiplying the highest exponent prime factors to calculate the LCM of 67208 and 67222.

LCM(67208,67222) = 2³ × 31¹ × 271¹ × 19¹ × 29¹ × 61¹
LCM(67208,67222) = 2258928088