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What is the Least Common Multiple of 45815 and 45821?

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 45815 and 45821 is 2099289115.

LCM(45815,45821) = 2099289115

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Least Common Multiple of 45815 and 45821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45815 and 45821, than apply into the LCM equation.

GCF(45815,45821) = 1
LCM(45815,45821) = ( 45815 × 45821) / 1
LCM(45815,45821) = 2099289115 / 1
LCM(45815,45821) = 2099289115

Least Common Multiple (LCM) of 45815 and 45821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45815 and 45821. First we will calculate the prime factors of 45815 and 45821.

Prime Factorization of 45815

Prime factors of 45815 are 5, 7, 11, 17. Prime factorization of 45815 in exponential form is:

45815 = 51 × 72 × 111 × 171

Prime Factorization of 45821

Prime factors of 45821 are 45821. Prime factorization of 45821 in exponential form is:

45821 = 458211

Now multiplying the highest exponent prime factors to calculate the LCM of 45815 and 45821.

LCM(45815,45821) = 51 × 72 × 111 × 171 × 458211
LCM(45815,45821) = 2099289115