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What is the Least Common Multiple of 99486 and 99495?

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 99486 and 99495 is 1099817730.

LCM(99486,99495) = 1099817730

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Least Common Multiple of 99486 and 99495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99486 and 99495, than apply into the LCM equation.

GCF(99486,99495) = 9
LCM(99486,99495) = ( 99486 × 99495) / 9
LCM(99486,99495) = 9898359570 / 9
LCM(99486,99495) = 1099817730

Least Common Multiple (LCM) of 99486 and 99495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99486 and 99495. First we will calculate the prime factors of 99486 and 99495.

Prime Factorization of 99486

Prime factors of 99486 are 2, 3, 5527. Prime factorization of 99486 in exponential form is:

99486 = 21 × 32 × 55271

Prime Factorization of 99495

Prime factors of 99495 are 3, 5, 11, 67. Prime factorization of 99495 in exponential form is:

99495 = 33 × 51 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 99486 and 99495.

LCM(99486,99495) = 21 × 33 × 55271 × 51 × 111 × 671
LCM(99486,99495) = 1099817730