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What is the Least Common Multiple of 27248 and 27267?

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 27248 and 27267 is 742971216.

LCM(27248,27267) = 742971216

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Least Common Multiple of 27248 and 27267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27248 and 27267, than apply into the LCM equation.

GCF(27248,27267) = 1
LCM(27248,27267) = ( 27248 × 27267) / 1
LCM(27248,27267) = 742971216 / 1
LCM(27248,27267) = 742971216

Least Common Multiple (LCM) of 27248 and 27267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27248 and 27267. First we will calculate the prime factors of 27248 and 27267.

Prime Factorization of 27248

Prime factors of 27248 are 2, 13, 131. Prime factorization of 27248 in exponential form is:

27248 = 24 × 131 × 1311

Prime Factorization of 27267

Prime factors of 27267 are 3, 61, 149. Prime factorization of 27267 in exponential form is:

27267 = 31 × 611 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 27248 and 27267.

LCM(27248,27267) = 24 × 131 × 1311 × 31 × 611 × 1491
LCM(27248,27267) = 742971216