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What is the Least Common Multiple of 5466 and 5484?

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 5466 and 5484 is 4995924.

LCM(5466,5484) = 4995924

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Least Common Multiple of 5466 and 5484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5466 and 5484, than apply into the LCM equation.

GCF(5466,5484) = 6
LCM(5466,5484) = ( 5466 × 5484) / 6
LCM(5466,5484) = 29975544 / 6
LCM(5466,5484) = 4995924

Least Common Multiple (LCM) of 5466 and 5484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5466 and 5484. First we will calculate the prime factors of 5466 and 5484.

Prime Factorization of 5466

Prime factors of 5466 are 2, 3, 911. Prime factorization of 5466 in exponential form is:

5466 = 21 × 31 × 9111

Prime Factorization of 5484

Prime factors of 5484 are 2, 3, 457. Prime factorization of 5484 in exponential form is:

5484 = 22 × 31 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 5466 and 5484.

LCM(5466,5484) = 22 × 31 × 9111 × 4571
LCM(5466,5484) = 4995924