What is the Least Common Multiple of 70574 and 70585?

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 70574 and 70585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70574 and 70585, than apply into the LCM equation.

GCF(70574,70585) = 1
LCM(70574,70585) = ( 70574 × 70585) / 1
LCM(70574,70585) = 4981465790 / 1
LCM(70574,70585) = 4981465790

Least Common Multiple (LCM) of 70574 and 70585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70574 and 70585. First we will calculate the prime factors of 70574 and 70585.

Prime Factorization of 70574

Prime Factorization of 70585

Now multiplying the highest exponent prime factors to calculate the LCM of 70574 and 70585.

LCM(70574,70585) = 2¹ × 7¹ × 71² × 5¹ × 19¹ × 743¹
LCM(70574,70585) = 4981465790