What is the Least Common Multiple of 10434 and 10442?

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 10434 and 10442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10434 and 10442, than apply into the LCM equation.

GCF(10434,10442) = 2
LCM(10434,10442) = ( 10434 × 10442) / 2
LCM(10434,10442) = 108951828 / 2
LCM(10434,10442) = 54475914

Least Common Multiple (LCM) of 10434 and 10442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10434 and 10442. First we will calculate the prime factors of 10434 and 10442.

Prime Factorization of 10434

Prime Factorization of 10442

Now multiplying the highest exponent prime factors to calculate the LCM of 10434 and 10442.

LCM(10434,10442) = 2¹ × 3¹ × 37¹ × 47¹ × 23¹ × 227¹
LCM(10434,10442) = 54475914