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What is the Least Common Multiple of 29811 and 29815?

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 29811 and 29815 is 888814965.

LCM(29811,29815) = 888814965

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Least Common Multiple of 29811 and 29815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29811 and 29815, than apply into the LCM equation.

GCF(29811,29815) = 1
LCM(29811,29815) = ( 29811 × 29815) / 1
LCM(29811,29815) = 888814965 / 1
LCM(29811,29815) = 888814965

Least Common Multiple (LCM) of 29811 and 29815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29811 and 29815. First we will calculate the prime factors of 29811 and 29815.

Prime Factorization of 29811

Prime factors of 29811 are 3, 19, 523. Prime factorization of 29811 in exponential form is:

29811 = 31 × 191 × 5231

Prime Factorization of 29815

Prime factors of 29815 are 5, 67, 89. Prime factorization of 29815 in exponential form is:

29815 = 51 × 671 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 29811 and 29815.

LCM(29811,29815) = 31 × 191 × 5231 × 51 × 671 × 891
LCM(29811,29815) = 888814965