What is the Least Common Multiple of 42508 and 42521?

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 42508 and 42521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42508 and 42521, than apply into the LCM equation.

GCF(42508,42521) = 1
LCM(42508,42521) = ( 42508 × 42521) / 1
LCM(42508,42521) = 1807482668 / 1
LCM(42508,42521) = 1807482668

Least Common Multiple (LCM) of 42508 and 42521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42508 and 42521. First we will calculate the prime factors of 42508 and 42521.

Prime Factorization of 42508

Prime Factorization of 42521

Now multiplying the highest exponent prime factors to calculate the LCM of 42508 and 42521.

LCM(42508,42521) = 2² × 10627¹ × 101¹ × 421¹
LCM(42508,42521) = 1807482668