What is the Least Common Multiple of 42539 and 42557?

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 42539 and 42557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42539 and 42557, than apply into the LCM equation.

GCF(42539,42557) = 1
LCM(42539,42557) = ( 42539 × 42557) / 1
LCM(42539,42557) = 1810332223 / 1
LCM(42539,42557) = 1810332223

Least Common Multiple (LCM) of 42539 and 42557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42539 and 42557. First we will calculate the prime factors of 42539 and 42557.

Prime Factorization of 42539

Prime Factorization of 42557

Now multiplying the highest exponent prime factors to calculate the LCM of 42539 and 42557.

LCM(42539,42557) = 7¹ × 59¹ × 103¹ × 42557¹
LCM(42539,42557) = 1810332223