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What is the Least Common Multiple of 10787 and 10795?

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 10787 and 10795 is 116445665.

LCM(10787,10795) = 116445665

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Least Common Multiple of 10787 and 10795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10787 and 10795, than apply into the LCM equation.

GCF(10787,10795) = 1
LCM(10787,10795) = ( 10787 × 10795) / 1
LCM(10787,10795) = 116445665 / 1
LCM(10787,10795) = 116445665

Least Common Multiple (LCM) of 10787 and 10795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10787 and 10795. First we will calculate the prime factors of 10787 and 10795.

Prime Factorization of 10787

Prime factors of 10787 are 7, 23, 67. Prime factorization of 10787 in exponential form is:

10787 = 71 × 231 × 671

Prime Factorization of 10795

Prime factors of 10795 are 5, 17, 127. Prime factorization of 10795 in exponential form is:

10795 = 51 × 171 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 10787 and 10795.

LCM(10787,10795) = 71 × 231 × 671 × 51 × 171 × 1271
LCM(10787,10795) = 116445665