What is the Least Common Multiple of 67165 and 67171?

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 67165 and 67171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67165 and 67171, than apply into the LCM equation.

GCF(67165,67171) = 1
LCM(67165,67171) = ( 67165 × 67171) / 1
LCM(67165,67171) = 4511540215 / 1
LCM(67165,67171) = 4511540215

Least Common Multiple (LCM) of 67165 and 67171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67165 and 67171. First we will calculate the prime factors of 67165 and 67171.

Prime Factorization of 67165

Prime Factorization of 67171

Now multiplying the highest exponent prime factors to calculate the LCM of 67165 and 67171.

LCM(67165,67171) = 5¹ × 7¹ × 19¹ × 101¹ × 13¹ × 5167¹
LCM(67165,67171) = 4511540215