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What is the Least Common Multiple of 28811 and 28818?

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 28811 and 28818 is 830275398.

LCM(28811,28818) = 830275398

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Least Common Multiple of 28811 and 28818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28811 and 28818, than apply into the LCM equation.

GCF(28811,28818) = 1
LCM(28811,28818) = ( 28811 × 28818) / 1
LCM(28811,28818) = 830275398 / 1
LCM(28811,28818) = 830275398

Least Common Multiple (LCM) of 28811 and 28818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28811 and 28818. First we will calculate the prime factors of 28811 and 28818.

Prime Factorization of 28811

Prime factors of 28811 are 47, 613. Prime factorization of 28811 in exponential form is:

28811 = 471 × 6131

Prime Factorization of 28818

Prime factors of 28818 are 2, 3, 1601. Prime factorization of 28818 in exponential form is:

28818 = 21 × 32 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 28811 and 28818.

LCM(28811,28818) = 471 × 6131 × 21 × 32 × 16011
LCM(28811,28818) = 830275398