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What is the Least Common Multiple of 92815 and 92828?

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 92815 and 92828 is 8615830820.

LCM(92815,92828) = 8615830820

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Least Common Multiple of 92815 and 92828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92815 and 92828, than apply into the LCM equation.

GCF(92815,92828) = 1
LCM(92815,92828) = ( 92815 × 92828) / 1
LCM(92815,92828) = 8615830820 / 1
LCM(92815,92828) = 8615830820

Least Common Multiple (LCM) of 92815 and 92828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92815 and 92828. First we will calculate the prime factors of 92815 and 92828.

Prime Factorization of 92815

Prime factors of 92815 are 5, 19, 977. Prime factorization of 92815 in exponential form is:

92815 = 51 × 191 × 9771

Prime Factorization of 92828

Prime factors of 92828 are 2, 23, 1009. Prime factorization of 92828 in exponential form is:

92828 = 22 × 231 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 92815 and 92828.

LCM(92815,92828) = 51 × 191 × 9771 × 22 × 231 × 10091
LCM(92815,92828) = 8615830820