What is the Least Common Multiple of 5432 and 5449?

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 5449 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 5449, than apply into the LCM equation.

GCF(5432,5449) = 1
LCM(5432,5449) = ( 5432 × 5449) / 1
LCM(5432,5449) = 29598968 / 1
LCM(5432,5449) = 29598968

Least Common Multiple (LCM) of 5432 and 5449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5432 and 5449. First we will calculate the prime factors of 5432 and 5449.

Prime Factorization of 5432

Prime Factorization of 5449

Now multiplying the highest exponent prime factors to calculate the LCM of 5432 and 5449.

LCM(5432,5449) = 2³ × 7¹ × 97¹ × 5449¹
LCM(5432,5449) = 29598968