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What is the Least Common Multiple of 92455 and 92469?

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 92455 and 92469 is 8549221395.

LCM(92455,92469) = 8549221395

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Least Common Multiple of 92455 and 92469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92455 and 92469, than apply into the LCM equation.

GCF(92455,92469) = 1
LCM(92455,92469) = ( 92455 × 92469) / 1
LCM(92455,92469) = 8549221395 / 1
LCM(92455,92469) = 8549221395

Least Common Multiple (LCM) of 92455 and 92469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92455 and 92469. First we will calculate the prime factors of 92455 and 92469.

Prime Factorization of 92455

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

92455 = 51 × 111 × 412

Prime Factorization of 92469

Prime factors of 92469 are 3, 13, 2371. Prime factorization of 92469 in exponential form is:

92469 = 31 × 131 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 92455 and 92469.

LCM(92455,92469) = 51 × 111 × 412 × 31 × 131 × 23711
LCM(92455,92469) = 8549221395