What is the Least Common Multiple of 42413 and 42433?

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 42413 and 42433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42413 and 42433, than apply into the LCM equation.

GCF(42413,42433) = 1
LCM(42413,42433) = ( 42413 × 42433) / 1
LCM(42413,42433) = 1799710829 / 1
LCM(42413,42433) = 1799710829

Least Common Multiple (LCM) of 42413 and 42433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42413 and 42433. First we will calculate the prime factors of 42413 and 42433.

Prime Factorization of 42413

Prime Factorization of 42433

Now multiplying the highest exponent prime factors to calculate the LCM of 42413 and 42433.

LCM(42413,42433) = 7¹ × 73¹ × 83¹ × 42433¹
LCM(42413,42433) = 1799710829