What is the Least Common Multiple of 71160 and 71165?

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 71160 and 71165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71160 and 71165, than apply into the LCM equation.

GCF(71160,71165) = 5
LCM(71160,71165) = ( 71160 × 71165) / 5
LCM(71160,71165) = 5064101400 / 5
LCM(71160,71165) = 1012820280

Least Common Multiple (LCM) of 71160 and 71165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71160 and 71165. First we will calculate the prime factors of 71160 and 71165.

Prime Factorization of 71160

Prime Factorization of 71165

Now multiplying the highest exponent prime factors to calculate the LCM of 71160 and 71165.

LCM(71160,71165) = 2³ × 3¹ × 5¹ × 593¹ × 43¹ × 331¹
LCM(71160,71165) = 1012820280