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What is the Least Common Multiple of 92049 and 92069?

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 92049 and 92069 is 8474859381.

LCM(92049,92069) = 8474859381

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Least Common Multiple of 92049 and 92069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92049 and 92069, than apply into the LCM equation.

GCF(92049,92069) = 1
LCM(92049,92069) = ( 92049 × 92069) / 1
LCM(92049,92069) = 8474859381 / 1
LCM(92049,92069) = 8474859381

Least Common Multiple (LCM) of 92049 and 92069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92049 and 92069. First we will calculate the prime factors of 92049 and 92069.

Prime Factorization of 92049

Prime factors of 92049 are 3, 61, 503. Prime factorization of 92049 in exponential form is:

92049 = 31 × 611 × 5031

Prime Factorization of 92069

Prime factors of 92069 are 23, 4003. Prime factorization of 92069 in exponential form is:

92069 = 231 × 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 92049 and 92069.

LCM(92049,92069) = 31 × 611 × 5031 × 231 × 40031
LCM(92049,92069) = 8474859381