What is the Least Common Multiple of 55167 and 55171?

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 55167 and 55171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55167 and 55171, than apply into the LCM equation.

GCF(55167,55171) = 1
LCM(55167,55171) = ( 55167 × 55171) / 1
LCM(55167,55171) = 3043618557 / 1
LCM(55167,55171) = 3043618557

Least Common Multiple (LCM) of 55167 and 55171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55167 and 55171. First we will calculate the prime factors of 55167 and 55171.

Prime Factorization of 55167

Prime Factorization of 55171

Now multiplying the highest exponent prime factors to calculate the LCM of 55167 and 55171.

LCM(55167,55171) = 3¹ × 7¹ × 37¹ × 71¹ × 55171¹
LCM(55167,55171) = 3043618557