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What is the Least Common Multiple of 27455 and 27463?

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 27455 and 27463 is 753996665.

LCM(27455,27463) = 753996665

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Least Common Multiple of 27455 and 27463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27455 and 27463, than apply into the LCM equation.

GCF(27455,27463) = 1
LCM(27455,27463) = ( 27455 × 27463) / 1
LCM(27455,27463) = 753996665 / 1
LCM(27455,27463) = 753996665

Least Common Multiple (LCM) of 27455 and 27463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27455 and 27463. First we will calculate the prime factors of 27455 and 27463.

Prime Factorization of 27455

Prime factors of 27455 are 5, 17, 19. Prime factorization of 27455 in exponential form is:

27455 = 51 × 172 × 191

Prime Factorization of 27463

Prime factors of 27463 are 29, 947. Prime factorization of 27463 in exponential form is:

27463 = 291 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 27455 and 27463.

LCM(27455,27463) = 51 × 172 × 191 × 291 × 9471
LCM(27455,27463) = 753996665