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What is the Least Common Multiple of 27815 and 27826?

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 27815 and 27826 is 773980190.

LCM(27815,27826) = 773980190

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Least Common Multiple of 27815 and 27826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27815 and 27826, than apply into the LCM equation.

GCF(27815,27826) = 1
LCM(27815,27826) = ( 27815 × 27826) / 1
LCM(27815,27826) = 773980190 / 1
LCM(27815,27826) = 773980190

Least Common Multiple (LCM) of 27815 and 27826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27815 and 27826. First we will calculate the prime factors of 27815 and 27826.

Prime Factorization of 27815

Prime factors of 27815 are 5, 5563. Prime factorization of 27815 in exponential form is:

27815 = 51 × 55631

Prime Factorization of 27826

Prime factors of 27826 are 2, 13913. Prime factorization of 27826 in exponential form is:

27826 = 21 × 139131

Now multiplying the highest exponent prime factors to calculate the LCM of 27815 and 27826.

LCM(27815,27826) = 51 × 55631 × 21 × 139131
LCM(27815,27826) = 773980190