What is the Least Common Multiple of 73167 and 73171?

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 73167 and 73171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73167 and 73171, than apply into the LCM equation.

GCF(73167,73171) = 1
LCM(73167,73171) = ( 73167 × 73171) / 1
LCM(73167,73171) = 5353702557 / 1
LCM(73167,73171) = 5353702557

Least Common Multiple (LCM) of 73167 and 73171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73167 and 73171. First we will calculate the prime factors of 73167 and 73171.

Prime Factorization of 73167

Prime Factorization of 73171

Now multiplying the highest exponent prime factors to calculate the LCM of 73167 and 73171.

LCM(73167,73171) = 3¹ × 29³ × 7¹ × 10453¹
LCM(73167,73171) = 5353702557