GCF and LCM Calculator Logo

What is the Least Common Multiple of 5445 and 5459?

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 (LCM) of 5445 and 5459 is 29724255.

LCM(5445,5459) = 29724255

LCM Calculator and
and

Least Common Multiple of 5445 and 5459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5445 and 5459, than apply into the LCM equation.

GCF(5445,5459) = 1
LCM(5445,5459) = ( 5445 × 5459) / 1
LCM(5445,5459) = 29724255 / 1
LCM(5445,5459) = 29724255

Least Common Multiple (LCM) of 5445 and 5459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5445 and 5459. First we will calculate the prime factors of 5445 and 5459.

Prime Factorization of 5445

Prime factors of 5445 are 3, 5, 11. Prime factorization of 5445 in exponential form is:

5445 = 32 × 51 × 112

Prime Factorization of 5459

Prime factors of 5459 are 53, 103. Prime factorization of 5459 in exponential form is:

5459 = 531 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5445 and 5459.

LCM(5445,5459) = 32 × 51 × 112 × 531 × 1031
LCM(5445,5459) = 29724255