What is the Least Common Multiple of 71810 and 71815?

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 71810 and 71815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71810 and 71815, than apply into the LCM equation.

GCF(71810,71815) = 5
LCM(71810,71815) = ( 71810 × 71815) / 5
LCM(71810,71815) = 5157035150 / 5
LCM(71810,71815) = 1031407030

Least Common Multiple (LCM) of 71810 and 71815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71810 and 71815. First we will calculate the prime factors of 71810 and 71815.

Prime Factorization of 71810

Prime Factorization of 71815

Now multiplying the highest exponent prime factors to calculate the LCM of 71810 and 71815.

LCM(71810,71815) = 2¹ × 5¹ × 43¹ × 167¹ × 53¹ × 271¹
LCM(71810,71815) = 1031407030