What is the Least Common Multiple of 52151 and 52171?

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 52151 and 52171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52151 and 52171, than apply into the LCM equation.

GCF(52151,52171) = 1
LCM(52151,52171) = ( 52151 × 52171) / 1
LCM(52151,52171) = 2720769821 / 1
LCM(52151,52171) = 2720769821

Least Common Multiple (LCM) of 52151 and 52171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52151 and 52171. First we will calculate the prime factors of 52151 and 52171.

Prime Factorization of 52151

Prime Factorization of 52171

Now multiplying the highest exponent prime factors to calculate the LCM of 52151 and 52171.

LCM(52151,52171) = 11² × 431¹ × 7¹ × 29¹ × 257¹
LCM(52151,52171) = 2720769821