What is the Least Common Multiple of 67122 and 67133?

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 67122 and 67133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67122 and 67133, than apply into the LCM equation.

GCF(67122,67133) = 11
LCM(67122,67133) = ( 67122 × 67133) / 11
LCM(67122,67133) = 4506101226 / 11
LCM(67122,67133) = 409645566

Least Common Multiple (LCM) of 67122 and 67133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67122 and 67133. First we will calculate the prime factors of 67122 and 67133.

Prime Factorization of 67122

Prime Factorization of 67133

Now multiplying the highest exponent prime factors to calculate the LCM of 67122 and 67133.

LCM(67122,67133) = 2¹ × 3³ × 11¹ × 113¹ × 17¹ × 359¹
LCM(67122,67133) = 409645566