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What is the Least Common Multiple of 93026 and 93045?

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 93026 and 93045 is 8655604170.

LCM(93026,93045) = 8655604170

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Least Common Multiple of 93026 and 93045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93026 and 93045, than apply into the LCM equation.

GCF(93026,93045) = 1
LCM(93026,93045) = ( 93026 × 93045) / 1
LCM(93026,93045) = 8655604170 / 1
LCM(93026,93045) = 8655604170

Least Common Multiple (LCM) of 93026 and 93045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93026 and 93045. First we will calculate the prime factors of 93026 and 93045.

Prime Factorization of 93026

Prime factors of 93026 are 2, 193, 241. Prime factorization of 93026 in exponential form is:

93026 = 21 × 1931 × 2411

Prime Factorization of 93045

Prime factors of 93045 are 3, 5, 6203. Prime factorization of 93045 in exponential form is:

93045 = 31 × 51 × 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 93026 and 93045.

LCM(93026,93045) = 21 × 1931 × 2411 × 31 × 51 × 62031
LCM(93026,93045) = 8655604170