What is the Least Common Multiple of 71160 and 71167?

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 71167 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 71167, than apply into the LCM equation.

GCF(71160,71167) = 1
LCM(71160,71167) = ( 71160 × 71167) / 1
LCM(71160,71167) = 5064243720 / 1
LCM(71160,71167) = 5064243720

Least Common Multiple (LCM) of 71160 and 71167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71160 and 71167. First we will calculate the prime factors of 71160 and 71167.

Prime Factorization of 71160

Prime Factorization of 71167

Now multiplying the highest exponent prime factors to calculate the LCM of 71160 and 71167.

LCM(71160,71167) = 2³ × 3¹ × 5¹ × 593¹ × 71167¹
LCM(71160,71167) = 5064243720