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What is the Least Common Multiple of 99074 and 99079?

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 99074 and 99079 is 9816152846.

LCM(99074,99079) = 9816152846

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Least Common Multiple of 99074 and 99079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99074 and 99079, than apply into the LCM equation.

GCF(99074,99079) = 1
LCM(99074,99079) = ( 99074 × 99079) / 1
LCM(99074,99079) = 9816152846 / 1
LCM(99074,99079) = 9816152846

Least Common Multiple (LCM) of 99074 and 99079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99074 and 99079. First we will calculate the prime factors of 99074 and 99079.

Prime Factorization of 99074

Prime factors of 99074 are 2, 49537. Prime factorization of 99074 in exponential form is:

99074 = 21 × 495371

Prime Factorization of 99079

Prime factors of 99079 are 99079. Prime factorization of 99079 in exponential form is:

99079 = 990791

Now multiplying the highest exponent prime factors to calculate the LCM of 99074 and 99079.

LCM(99074,99079) = 21 × 495371 × 990791
LCM(99074,99079) = 9816152846