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What is the Least Common Multiple of 99787 and 99793?

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 99787 and 99793 is 9958044091.

LCM(99787,99793) = 9958044091

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Least Common Multiple of 99787 and 99793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99787 and 99793, than apply into the LCM equation.

GCF(99787,99793) = 1
LCM(99787,99793) = ( 99787 × 99793) / 1
LCM(99787,99793) = 9958044091 / 1
LCM(99787,99793) = 9958044091

Least Common Multiple (LCM) of 99787 and 99793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99787 and 99793. First we will calculate the prime factors of 99787 and 99793.

Prime Factorization of 99787

Prime factors of 99787 are 99787. Prime factorization of 99787 in exponential form is:

99787 = 997871

Prime Factorization of 99793

Prime factors of 99793 are 99793. Prime factorization of 99793 in exponential form is:

99793 = 997931

Now multiplying the highest exponent prime factors to calculate the LCM of 99787 and 99793.

LCM(99787,99793) = 997871 × 997931
LCM(99787,99793) = 9958044091