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What is the Least Common Multiple of 93034 and 93042?

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 93034 and 93042 is 4328034714.

LCM(93034,93042) = 4328034714

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Least Common Multiple of 93034 and 93042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93034 and 93042, than apply into the LCM equation.

GCF(93034,93042) = 2
LCM(93034,93042) = ( 93034 × 93042) / 2
LCM(93034,93042) = 8656069428 / 2
LCM(93034,93042) = 4328034714

Least Common Multiple (LCM) of 93034 and 93042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93034 and 93042. First we will calculate the prime factors of 93034 and 93042.

Prime Factorization of 93034

Prime factors of 93034 are 2, 181, 257. Prime factorization of 93034 in exponential form is:

93034 = 21 × 1811 × 2571

Prime Factorization of 93042

Prime factors of 93042 are 2, 3, 1723. Prime factorization of 93042 in exponential form is:

93042 = 21 × 33 × 17231

Now multiplying the highest exponent prime factors to calculate the LCM of 93034 and 93042.

LCM(93034,93042) = 21 × 1811 × 2571 × 33 × 17231
LCM(93034,93042) = 4328034714