What is the Least Common Multiple of 56434 and 56442?

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 56434 and 56442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56434 and 56442, than apply into the LCM equation.

GCF(56434,56442) = 2
LCM(56434,56442) = ( 56434 × 56442) / 2
LCM(56434,56442) = 3185247828 / 2
LCM(56434,56442) = 1592623914

Least Common Multiple (LCM) of 56434 and 56442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56434 and 56442. First we will calculate the prime factors of 56434 and 56442.

Prime Factorization of 56434

Prime Factorization of 56442

Now multiplying the highest exponent prime factors to calculate the LCM of 56434 and 56442.

LCM(56434,56442) = 2¹ × 7¹ × 29¹ × 139¹ × 3¹ × 23¹ × 409¹
LCM(56434,56442) = 1592623914