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What is the Least Common Multiple of 26815 and 26830?

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 26815 and 26830 is 143889290.

LCM(26815,26830) = 143889290

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Least Common Multiple of 26815 and 26830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26815 and 26830, than apply into the LCM equation.

GCF(26815,26830) = 5
LCM(26815,26830) = ( 26815 × 26830) / 5
LCM(26815,26830) = 719446450 / 5
LCM(26815,26830) = 143889290

Least Common Multiple (LCM) of 26815 and 26830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26815 and 26830. First we will calculate the prime factors of 26815 and 26830.

Prime Factorization of 26815

Prime factors of 26815 are 5, 31, 173. Prime factorization of 26815 in exponential form is:

26815 = 51 × 311 × 1731

Prime Factorization of 26830

Prime factors of 26830 are 2, 5, 2683. Prime factorization of 26830 in exponential form is:

26830 = 21 × 51 × 26831

Now multiplying the highest exponent prime factors to calculate the LCM of 26815 and 26830.

LCM(26815,26830) = 51 × 311 × 1731 × 21 × 26831
LCM(26815,26830) = 143889290