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What is the Least Common Multiple of 99373 and 99392?

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 99373 and 99392 is 9876881216.

LCM(99373,99392) = 9876881216

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Least Common Multiple of 99373 and 99392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99373 and 99392, than apply into the LCM equation.

GCF(99373,99392) = 1
LCM(99373,99392) = ( 99373 × 99392) / 1
LCM(99373,99392) = 9876881216 / 1
LCM(99373,99392) = 9876881216

Least Common Multiple (LCM) of 99373 and 99392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99373 and 99392. First we will calculate the prime factors of 99373 and 99392.

Prime Factorization of 99373

Prime factors of 99373 are 43, 2311. Prime factorization of 99373 in exponential form is:

99373 = 431 × 23111

Prime Factorization of 99392

Prime factors of 99392 are 2, 1553. Prime factorization of 99392 in exponential form is:

99392 = 26 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 99373 and 99392.

LCM(99373,99392) = 431 × 23111 × 26 × 15531
LCM(99373,99392) = 9876881216