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What is the Least Common Multiple of 54482 and 54494?

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 54482 and 54494 is 1484471054.

LCM(54482,54494) = 1484471054

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Least Common Multiple of 54482 and 54494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54482 and 54494, than apply into the LCM equation.

GCF(54482,54494) = 2
LCM(54482,54494) = ( 54482 × 54494) / 2
LCM(54482,54494) = 2968942108 / 2
LCM(54482,54494) = 1484471054

Least Common Multiple (LCM) of 54482 and 54494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54482 and 54494. First we will calculate the prime factors of 54482 and 54494.

Prime Factorization of 54482

Prime factors of 54482 are 2, 27241. Prime factorization of 54482 in exponential form is:

54482 = 21 × 272411

Prime Factorization of 54494

Prime factors of 54494 are 2, 11, 2477. Prime factorization of 54494 in exponential form is:

54494 = 21 × 111 × 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 54482 and 54494.

LCM(54482,54494) = 21 × 272411 × 111 × 24771
LCM(54482,54494) = 1484471054