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What is the Least Common Multiple of 27545 and 27554?

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 27545 and 27554 is 758974930.

LCM(27545,27554) = 758974930

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Least Common Multiple of 27545 and 27554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27545 and 27554, than apply into the LCM equation.

GCF(27545,27554) = 1
LCM(27545,27554) = ( 27545 × 27554) / 1
LCM(27545,27554) = 758974930 / 1
LCM(27545,27554) = 758974930

Least Common Multiple (LCM) of 27545 and 27554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27545 and 27554. First we will calculate the prime factors of 27545 and 27554.

Prime Factorization of 27545

Prime factors of 27545 are 5, 7, 787. Prime factorization of 27545 in exponential form is:

27545 = 51 × 71 × 7871

Prime Factorization of 27554

Prime factors of 27554 are 2, 23, 599. Prime factorization of 27554 in exponential form is:

27554 = 21 × 231 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 27545 and 27554.

LCM(27545,27554) = 51 × 71 × 7871 × 21 × 231 × 5991
LCM(27545,27554) = 758974930