What is the Least Common Multiple of 71563 and 71570?

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 71563 and 71570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71563 and 71570, than apply into the LCM equation.

GCF(71563,71570) = 1
LCM(71563,71570) = ( 71563 × 71570) / 1
LCM(71563,71570) = 5121763910 / 1
LCM(71563,71570) = 5121763910

Least Common Multiple (LCM) of 71563 and 71570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71563 and 71570. First we will calculate the prime factors of 71563 and 71570.

Prime Factorization of 71563

Prime Factorization of 71570

Now multiplying the highest exponent prime factors to calculate the LCM of 71563 and 71570.

LCM(71563,71570) = 71563¹ × 2¹ × 5¹ × 17¹ × 421¹
LCM(71563,71570) = 5121763910