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What is the Least Common Multiple of 5477 and 5493?

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 5477 and 5493 is 30085161.

LCM(5477,5493) = 30085161

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Least Common Multiple of 5477 and 5493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5477 and 5493, than apply into the LCM equation.

GCF(5477,5493) = 1
LCM(5477,5493) = ( 5477 × 5493) / 1
LCM(5477,5493) = 30085161 / 1
LCM(5477,5493) = 30085161

Least Common Multiple (LCM) of 5477 and 5493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5477 and 5493. First we will calculate the prime factors of 5477 and 5493.

Prime Factorization of 5477

Prime factors of 5477 are 5477. Prime factorization of 5477 in exponential form is:

5477 = 54771

Prime Factorization of 5493

Prime factors of 5493 are 3, 1831. Prime factorization of 5493 in exponential form is:

5493 = 31 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 5477 and 5493.

LCM(5477,5493) = 54771 × 31 × 18311
LCM(5477,5493) = 30085161