What is the Least Common Multiple of 67169 and 67177?

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 67169 and 67177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67169 and 67177, than apply into the LCM equation.

GCF(67169,67177) = 1
LCM(67169,67177) = ( 67169 × 67177) / 1
LCM(67169,67177) = 4512211913 / 1
LCM(67169,67177) = 4512211913

Least Common Multiple (LCM) of 67169 and 67177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67169 and 67177. First we will calculate the prime factors of 67169 and 67177.

Prime Factorization of 67169

Prime Factorization of 67177

Now multiplying the highest exponent prime factors to calculate the LCM of 67169 and 67177.

LCM(67169,67177) = 67169¹ × 11¹ × 31¹ × 197¹
LCM(67169,67177) = 4512211913