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What is the Least Common Multiple of 92028 and 92045?

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 92028 and 92045 is 8470717260.

LCM(92028,92045) = 8470717260

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Least Common Multiple of 92028 and 92045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92028 and 92045, than apply into the LCM equation.

GCF(92028,92045) = 1
LCM(92028,92045) = ( 92028 × 92045) / 1
LCM(92028,92045) = 8470717260 / 1
LCM(92028,92045) = 8470717260

Least Common Multiple (LCM) of 92028 and 92045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92028 and 92045. First we will calculate the prime factors of 92028 and 92045.

Prime Factorization of 92028

Prime factors of 92028 are 2, 3, 7669. Prime factorization of 92028 in exponential form is:

92028 = 22 × 31 × 76691

Prime Factorization of 92045

Prime factors of 92045 are 5, 41, 449. Prime factorization of 92045 in exponential form is:

92045 = 51 × 411 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 92028 and 92045.

LCM(92028,92045) = 22 × 31 × 76691 × 51 × 411 × 4491
LCM(92028,92045) = 8470717260