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What is the Least Common Multiple of 92439 and 92455?

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 92439 and 92455 is 8546447745.

LCM(92439,92455) = 8546447745

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Least Common Multiple of 92439 and 92455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92439 and 92455, than apply into the LCM equation.

GCF(92439,92455) = 1
LCM(92439,92455) = ( 92439 × 92455) / 1
LCM(92439,92455) = 8546447745 / 1
LCM(92439,92455) = 8546447745

Least Common Multiple (LCM) of 92439 and 92455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92439 and 92455. First we will calculate the prime factors of 92439 and 92455.

Prime Factorization of 92439

Prime factors of 92439 are 3, 10271. Prime factorization of 92439 in exponential form is:

92439 = 32 × 102711

Prime Factorization of 92455

Prime factors of 92455 are 5, 11, 41. Prime factorization of 92455 in exponential form is:

92455 = 51 × 111 × 412

Now multiplying the highest exponent prime factors to calculate the LCM of 92439 and 92455.

LCM(92439,92455) = 32 × 102711 × 51 × 111 × 412
LCM(92439,92455) = 8546447745