What is the Least Common Multiple of 42578 and 42589?

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 42578 and 42589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42578 and 42589, than apply into the LCM equation.

GCF(42578,42589) = 1
LCM(42578,42589) = ( 42578 × 42589) / 1
LCM(42578,42589) = 1813354442 / 1
LCM(42578,42589) = 1813354442

Least Common Multiple (LCM) of 42578 and 42589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42578 and 42589. First we will calculate the prime factors of 42578 and 42589.

Prime Factorization of 42578

Prime Factorization of 42589

Now multiplying the highest exponent prime factors to calculate the LCM of 42578 and 42589.

LCM(42578,42589) = 2¹ × 61¹ × 349¹ × 42589¹
LCM(42578,42589) = 1813354442