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What is the Least Common Multiple of 27498 and 27505?

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 27498 and 27505 is 756332490.

LCM(27498,27505) = 756332490

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Least Common Multiple of 27498 and 27505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27498 and 27505, than apply into the LCM equation.

GCF(27498,27505) = 1
LCM(27498,27505) = ( 27498 × 27505) / 1
LCM(27498,27505) = 756332490 / 1
LCM(27498,27505) = 756332490

Least Common Multiple (LCM) of 27498 and 27505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27498 and 27505. First we will calculate the prime factors of 27498 and 27505.

Prime Factorization of 27498

Prime factors of 27498 are 2, 3, 4583. Prime factorization of 27498 in exponential form is:

27498 = 21 × 31 × 45831

Prime Factorization of 27505

Prime factors of 27505 are 5, 5501. Prime factorization of 27505 in exponential form is:

27505 = 51 × 55011

Now multiplying the highest exponent prime factors to calculate the LCM of 27498 and 27505.

LCM(27498,27505) = 21 × 31 × 45831 × 51 × 55011
LCM(27498,27505) = 756332490