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What is the Least Common Multiple of 8270 and 8277?

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 8270 and 8277 is 68450790.

LCM(8270,8277) = 68450790

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Least Common Multiple of 8270 and 8277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8270 and 8277, than apply into the LCM equation.

GCF(8270,8277) = 1
LCM(8270,8277) = ( 8270 × 8277) / 1
LCM(8270,8277) = 68450790 / 1
LCM(8270,8277) = 68450790

Least Common Multiple (LCM) of 8270 and 8277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8270 and 8277. First we will calculate the prime factors of 8270 and 8277.

Prime Factorization of 8270

Prime factors of 8270 are 2, 5, 827. Prime factorization of 8270 in exponential form is:

8270 = 21 × 51 × 8271

Prime Factorization of 8277

Prime factors of 8277 are 3, 31, 89. Prime factorization of 8277 in exponential form is:

8277 = 31 × 311 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 8270 and 8277.

LCM(8270,8277) = 21 × 51 × 8271 × 31 × 311 × 891
LCM(8270,8277) = 68450790