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What is the Least Common Multiple of 54582 and 54602?

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 54582 and 54602 is 1490143182.

LCM(54582,54602) = 1490143182

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Least Common Multiple of 54582 and 54602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54582 and 54602, than apply into the LCM equation.

GCF(54582,54602) = 2
LCM(54582,54602) = ( 54582 × 54602) / 2
LCM(54582,54602) = 2980286364 / 2
LCM(54582,54602) = 1490143182

Least Common Multiple (LCM) of 54582 and 54602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54582 and 54602. First we will calculate the prime factors of 54582 and 54602.

Prime Factorization of 54582

Prime factors of 54582 are 2, 3, 11, 827. Prime factorization of 54582 in exponential form is:

54582 = 21 × 31 × 111 × 8271

Prime Factorization of 54602

Prime factors of 54602 are 2, 23, 1187. Prime factorization of 54602 in exponential form is:

54602 = 21 × 231 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 54582 and 54602.

LCM(54582,54602) = 21 × 31 × 111 × 8271 × 231 × 11871
LCM(54582,54602) = 1490143182