What is the Least Common Multiple of 42574 and 42581?

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 42574 and 42581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42574 and 42581, than apply into the LCM equation.

GCF(42574,42581) = 7
LCM(42574,42581) = ( 42574 × 42581) / 7
LCM(42574,42581) = 1812843494 / 7
LCM(42574,42581) = 258977642

Least Common Multiple (LCM) of 42574 and 42581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42574 and 42581. First we will calculate the prime factors of 42574 and 42581.

Prime Factorization of 42574

Prime Factorization of 42581

Now multiplying the highest exponent prime factors to calculate the LCM of 42574 and 42581.

LCM(42574,42581) = 2¹ × 7² × 3041¹ × 11¹ × 79¹
LCM(42574,42581) = 258977642