What is the Least Common Multiple of 42581 and 42592?

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 42581 and 42592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42581 and 42592, than apply into the LCM equation.

GCF(42581,42592) = 11
LCM(42581,42592) = ( 42581 × 42592) / 11
LCM(42581,42592) = 1813609952 / 11
LCM(42581,42592) = 164873632

Least Common Multiple (LCM) of 42581 and 42592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42581 and 42592. First we will calculate the prime factors of 42581 and 42592.

Prime Factorization of 42581

Prime Factorization of 42592

Now multiplying the highest exponent prime factors to calculate the LCM of 42581 and 42592.

LCM(42581,42592) = 7² × 11³ × 79¹ × 2⁵
LCM(42581,42592) = 164873632