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What is the Least Common Multiple of 27496 and 27514?

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 27496 and 27514 is 378262472.

LCM(27496,27514) = 378262472

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Least Common Multiple of 27496 and 27514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27496 and 27514, than apply into the LCM equation.

GCF(27496,27514) = 2
LCM(27496,27514) = ( 27496 × 27514) / 2
LCM(27496,27514) = 756524944 / 2
LCM(27496,27514) = 378262472

Least Common Multiple (LCM) of 27496 and 27514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27496 and 27514. First we will calculate the prime factors of 27496 and 27514.

Prime Factorization of 27496

Prime factors of 27496 are 2, 7, 491. Prime factorization of 27496 in exponential form is:

27496 = 23 × 71 × 4911

Prime Factorization of 27514

Prime factors of 27514 are 2, 13757. Prime factorization of 27514 in exponential form is:

27514 = 21 × 137571

Now multiplying the highest exponent prime factors to calculate the LCM of 27496 and 27514.

LCM(27496,27514) = 23 × 71 × 4911 × 137571
LCM(27496,27514) = 378262472