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What is the Least Common Multiple of 28534 and 28554?

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 28534 and 28554 is 407379918.

LCM(28534,28554) = 407379918

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Least Common Multiple of 28534 and 28554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28534 and 28554, than apply into the LCM equation.

GCF(28534,28554) = 2
LCM(28534,28554) = ( 28534 × 28554) / 2
LCM(28534,28554) = 814759836 / 2
LCM(28534,28554) = 407379918

Least Common Multiple (LCM) of 28534 and 28554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28534 and 28554. First we will calculate the prime factors of 28534 and 28554.

Prime Factorization of 28534

Prime factors of 28534 are 2, 11, 1297. Prime factorization of 28534 in exponential form is:

28534 = 21 × 111 × 12971

Prime Factorization of 28554

Prime factors of 28554 are 2, 3, 4759. Prime factorization of 28554 in exponential form is:

28554 = 21 × 31 × 47591

Now multiplying the highest exponent prime factors to calculate the LCM of 28534 and 28554.

LCM(28534,28554) = 21 × 111 × 12971 × 31 × 47591
LCM(28534,28554) = 407379918