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What is the Least Common Multiple of 92049 and 92065?

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 92065 is 8474491185.

LCM(92049,92065) = 8474491185

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Least Common Multiple of 92049 and 92065 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 92065, than apply into the LCM equation.

GCF(92049,92065) = 1
LCM(92049,92065) = ( 92049 × 92065) / 1
LCM(92049,92065) = 8474491185 / 1
LCM(92049,92065) = 8474491185

Least Common Multiple (LCM) of 92049 and 92065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92049 and 92065. First we will calculate the prime factors of 92049 and 92065.

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 92065

Prime factors of 92065 are 5, 18413. Prime factorization of 92065 in exponential form is:

92065 = 51 × 184131

Now multiplying the highest exponent prime factors to calculate the LCM of 92049 and 92065.

LCM(92049,92065) = 31 × 611 × 5031 × 51 × 184131
LCM(92049,92065) = 8474491185