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What is the Least Common Multiple of 5406 and 5410?

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 5406 and 5410 is 14623230.

LCM(5406,5410) = 14623230

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Least Common Multiple of 5406 and 5410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5406 and 5410, than apply into the LCM equation.

GCF(5406,5410) = 2
LCM(5406,5410) = ( 5406 × 5410) / 2
LCM(5406,5410) = 29246460 / 2
LCM(5406,5410) = 14623230

Least Common Multiple (LCM) of 5406 and 5410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5406 and 5410. First we will calculate the prime factors of 5406 and 5410.

Prime Factorization of 5406

Prime factors of 5406 are 2, 3, 17, 53. Prime factorization of 5406 in exponential form is:

5406 = 21 × 31 × 171 × 531

Prime Factorization of 5410

Prime factors of 5410 are 2, 5, 541. Prime factorization of 5410 in exponential form is:

5410 = 21 × 51 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 5406 and 5410.

LCM(5406,5410) = 21 × 31 × 171 × 531 × 51 × 5411
LCM(5406,5410) = 14623230