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What is the Least Common Multiple of 10465 and 10477?

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 10465 and 10477 is 109641805.

LCM(10465,10477) = 109641805

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Least Common Multiple of 10465 and 10477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10465 and 10477, than apply into the LCM equation.

GCF(10465,10477) = 1
LCM(10465,10477) = ( 10465 × 10477) / 1
LCM(10465,10477) = 109641805 / 1
LCM(10465,10477) = 109641805

Least Common Multiple (LCM) of 10465 and 10477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10465 and 10477. First we will calculate the prime factors of 10465 and 10477.

Prime Factorization of 10465

Prime factors of 10465 are 5, 7, 13, 23. Prime factorization of 10465 in exponential form is:

10465 = 51 × 71 × 131 × 231

Prime Factorization of 10477

Prime factors of 10477 are 10477. Prime factorization of 10477 in exponential form is:

10477 = 104771

Now multiplying the highest exponent prime factors to calculate the LCM of 10465 and 10477.

LCM(10465,10477) = 51 × 71 × 131 × 231 × 104771
LCM(10465,10477) = 109641805