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What is the Least Common Multiple of 54578 and 54589?

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 54578 and 54589 is 2979358442.

LCM(54578,54589) = 2979358442

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Least Common Multiple of 54578 and 54589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54578 and 54589, than apply into the LCM equation.

GCF(54578,54589) = 1
LCM(54578,54589) = ( 54578 × 54589) / 1
LCM(54578,54589) = 2979358442 / 1
LCM(54578,54589) = 2979358442

Least Common Multiple (LCM) of 54578 and 54589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54578 and 54589. First we will calculate the prime factors of 54578 and 54589.

Prime Factorization of 54578

Prime factors of 54578 are 2, 29, 941. Prime factorization of 54578 in exponential form is:

54578 = 21 × 291 × 9411

Prime Factorization of 54589

Prime factors of 54589 are 79, 691. Prime factorization of 54589 in exponential form is:

54589 = 791 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 54578 and 54589.

LCM(54578,54589) = 21 × 291 × 9411 × 791 × 6911
LCM(54578,54589) = 2979358442