What is the Least Common Multiple of 5160 and 5171?

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 5160 and 5171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5160 and 5171, than apply into the LCM equation.

GCF(5160,5171) = 1
LCM(5160,5171) = ( 5160 × 5171) / 1
LCM(5160,5171) = 26682360 / 1
LCM(5160,5171) = 26682360

Least Common Multiple (LCM) of 5160 and 5171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5160 and 5171. First we will calculate the prime factors of 5160 and 5171.

Prime Factorization of 5160

Prime Factorization of 5171

Now multiplying the highest exponent prime factors to calculate the LCM of 5160 and 5171.

LCM(5160,5171) = 2³ × 3¹ × 5¹ × 43¹ × 5171¹
LCM(5160,5171) = 26682360