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What is the Least Common Multiple of 99260 and 99268?

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 99260 and 99268 is 2463335420.

LCM(99260,99268) = 2463335420

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Least Common Multiple of 99260 and 99268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99260 and 99268, than apply into the LCM equation.

GCF(99260,99268) = 4
LCM(99260,99268) = ( 99260 × 99268) / 4
LCM(99260,99268) = 9853341680 / 4
LCM(99260,99268) = 2463335420

Least Common Multiple (LCM) of 99260 and 99268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99260 and 99268. First we will calculate the prime factors of 99260 and 99268.

Prime Factorization of 99260

Prime factors of 99260 are 2, 5, 7, 709. Prime factorization of 99260 in exponential form is:

99260 = 22 × 51 × 71 × 7091

Prime Factorization of 99268

Prime factors of 99268 are 2, 13, 23, 83. Prime factorization of 99268 in exponential form is:

99268 = 22 × 131 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 99260 and 99268.

LCM(99260,99268) = 22 × 51 × 71 × 7091 × 131 × 231 × 831
LCM(99260,99268) = 2463335420