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What is the Least Common Multiple of 93426 and 93445?

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 93426 and 93445 is 8730192570.

LCM(93426,93445) = 8730192570

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Least Common Multiple of 93426 and 93445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93426 and 93445, than apply into the LCM equation.

GCF(93426,93445) = 1
LCM(93426,93445) = ( 93426 × 93445) / 1
LCM(93426,93445) = 8730192570 / 1
LCM(93426,93445) = 8730192570

Least Common Multiple (LCM) of 93426 and 93445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93426 and 93445. First we will calculate the prime factors of 93426 and 93445.

Prime Factorization of 93426

Prime factors of 93426 are 2, 3, 23, 677. Prime factorization of 93426 in exponential form is:

93426 = 21 × 31 × 231 × 6771

Prime Factorization of 93445

Prime factors of 93445 are 5, 11, 1699. Prime factorization of 93445 in exponential form is:

93445 = 51 × 111 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 93426 and 93445.

LCM(93426,93445) = 21 × 31 × 231 × 6771 × 51 × 111 × 16991
LCM(93426,93445) = 8730192570