What is the Least Common Multiple of 5432 and 5442?

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 5432 and 5442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5432 and 5442, than apply into the LCM equation.

GCF(5432,5442) = 2
LCM(5432,5442) = ( 5432 × 5442) / 2
LCM(5432,5442) = 29560944 / 2
LCM(5432,5442) = 14780472

Least Common Multiple (LCM) of 5432 and 5442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5432 and 5442. First we will calculate the prime factors of 5432 and 5442.

Prime Factorization of 5432

Prime Factorization of 5442

Now multiplying the highest exponent prime factors to calculate the LCM of 5432 and 5442.

LCM(5432,5442) = 2³ × 7¹ × 97¹ × 3¹ × 907¹
LCM(5432,5442) = 14780472