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What is the Least Common Multiple of 27496 and 27502?

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 27502 is 378097496.

LCM(27496,27502) = 378097496

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Least Common Multiple of 27496 and 27502 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 27502, than apply into the LCM equation.

GCF(27496,27502) = 2
LCM(27496,27502) = ( 27496 × 27502) / 2
LCM(27496,27502) = 756194992 / 2
LCM(27496,27502) = 378097496

Least Common Multiple (LCM) of 27496 and 27502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27496 and 27502. First we will calculate the prime factors of 27496 and 27502.

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 27502

Prime factors of 27502 are 2, 13751. Prime factorization of 27502 in exponential form is:

27502 = 21 × 137511

Now multiplying the highest exponent prime factors to calculate the LCM of 27496 and 27502.

LCM(27496,27502) = 23 × 71 × 4911 × 137511
LCM(27496,27502) = 378097496