What is the Least Common Multiple of 11570 and 11586?

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 11570 and 11586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11570 and 11586, than apply into the LCM equation.

GCF(11570,11586) = 2
LCM(11570,11586) = ( 11570 × 11586) / 2
LCM(11570,11586) = 134050020 / 2
LCM(11570,11586) = 67025010

Least Common Multiple (LCM) of 11570 and 11586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11570 and 11586. First we will calculate the prime factors of 11570 and 11586.

Prime Factorization of 11570

Prime Factorization of 11586

Now multiplying the highest exponent prime factors to calculate the LCM of 11570 and 11586.

LCM(11570,11586) = 2¹ × 5¹ × 13¹ × 89¹ × 3¹ × 1931¹
LCM(11570,11586) = 67025010