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What is the Least Common Multiple of 99397 and 99406?

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 99397 and 99406 is 9880658182.

LCM(99397,99406) = 9880658182

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Least Common Multiple of 99397 and 99406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99397 and 99406, than apply into the LCM equation.

GCF(99397,99406) = 1
LCM(99397,99406) = ( 99397 × 99406) / 1
LCM(99397,99406) = 9880658182 / 1
LCM(99397,99406) = 9880658182

Least Common Multiple (LCM) of 99397 and 99406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99397 and 99406. First we will calculate the prime factors of 99397 and 99406.

Prime Factorization of 99397

Prime factors of 99397 are 99397. Prime factorization of 99397 in exponential form is:

99397 = 993971

Prime Factorization of 99406

Prime factors of 99406 are 2, 23, 2161. Prime factorization of 99406 in exponential form is:

99406 = 21 × 231 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 99397 and 99406.

LCM(99397,99406) = 993971 × 21 × 231 × 21611
LCM(99397,99406) = 9880658182