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What is the Least Common Multiple of 10675 and 10690?

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 10675 and 10690 is 22823150.

LCM(10675,10690) = 22823150

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Least Common Multiple of 10675 and 10690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10675 and 10690, than apply into the LCM equation.

GCF(10675,10690) = 5
LCM(10675,10690) = ( 10675 × 10690) / 5
LCM(10675,10690) = 114115750 / 5
LCM(10675,10690) = 22823150

Least Common Multiple (LCM) of 10675 and 10690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10675 and 10690. First we will calculate the prime factors of 10675 and 10690.

Prime Factorization of 10675

Prime factors of 10675 are 5, 7, 61. Prime factorization of 10675 in exponential form is:

10675 = 52 × 71 × 611

Prime Factorization of 10690

Prime factors of 10690 are 2, 5, 1069. Prime factorization of 10690 in exponential form is:

10690 = 21 × 51 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 10675 and 10690.

LCM(10675,10690) = 52 × 71 × 611 × 21 × 10691
LCM(10675,10690) = 22823150