What is the Least Common Multiple of 42896 and 42903?

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 42896 and 42903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42896 and 42903, than apply into the LCM equation.

GCF(42896,42903) = 7
LCM(42896,42903) = ( 42896 × 42903) / 7
LCM(42896,42903) = 1840367088 / 7
LCM(42896,42903) = 262909584

Least Common Multiple (LCM) of 42896 and 42903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42896 and 42903. First we will calculate the prime factors of 42896 and 42903.

Prime Factorization of 42896

Prime Factorization of 42903

Now multiplying the highest exponent prime factors to calculate the LCM of 42896 and 42903.

LCM(42896,42903) = 2⁴ × 7¹ × 383¹ × 3³ × 227¹
LCM(42896,42903) = 262909584