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What is the Least Common Multiple of 5473 and 5482?

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 5473 and 5482 is 30002986.

LCM(5473,5482) = 30002986

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Least Common Multiple of 5473 and 5482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5473 and 5482, than apply into the LCM equation.

GCF(5473,5482) = 1
LCM(5473,5482) = ( 5473 × 5482) / 1
LCM(5473,5482) = 30002986 / 1
LCM(5473,5482) = 30002986

Least Common Multiple (LCM) of 5473 and 5482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5473 and 5482. First we will calculate the prime factors of 5473 and 5482.

Prime Factorization of 5473

Prime factors of 5473 are 13, 421. Prime factorization of 5473 in exponential form is:

5473 = 131 × 4211

Prime Factorization of 5482

Prime factors of 5482 are 2, 2741. Prime factorization of 5482 in exponential form is:

5482 = 21 × 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 5473 and 5482.

LCM(5473,5482) = 131 × 4211 × 21 × 27411
LCM(5473,5482) = 30002986