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What is the Least Common Multiple of 87307 and 87327?

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 87307 and 87327 is 7624258389.

LCM(87307,87327) = 7624258389

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Least Common Multiple of 87307 and 87327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87307 and 87327, than apply into the LCM equation.

GCF(87307,87327) = 1
LCM(87307,87327) = ( 87307 × 87327) / 1
LCM(87307,87327) = 7624258389 / 1
LCM(87307,87327) = 7624258389

Least Common Multiple (LCM) of 87307 and 87327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87307 and 87327. First we will calculate the prime factors of 87307 and 87327.

Prime Factorization of 87307

Prime factors of 87307 are 11, 7937. Prime factorization of 87307 in exponential form is:

87307 = 111 × 79371

Prime Factorization of 87327

Prime factors of 87327 are 3, 31, 313. Prime factorization of 87327 in exponential form is:

87327 = 32 × 311 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 87307 and 87327.

LCM(87307,87327) = 111 × 79371 × 32 × 311 × 3131
LCM(87307,87327) = 7624258389