What is the Least Common Multiple of 42588 and 42602?

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 42588 and 42602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42588 and 42602, than apply into the LCM equation.

GCF(42588,42602) = 14
LCM(42588,42602) = ( 42588 × 42602) / 14
LCM(42588,42602) = 1814333976 / 14
LCM(42588,42602) = 129595284

Least Common Multiple (LCM) of 42588 and 42602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42588 and 42602. First we will calculate the prime factors of 42588 and 42602.

Prime Factorization of 42588

Prime Factorization of 42602

Now multiplying the highest exponent prime factors to calculate the LCM of 42588 and 42602.

LCM(42588,42602) = 2² × 3² × 7¹ × 13² × 17¹ × 179¹
LCM(42588,42602) = 129595284