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What is the Least Common Multiple of 68033 and 68042?

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 68033 and 68042 is 4629101386.

LCM(68033,68042) = 4629101386

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Least Common Multiple of 68033 and 68042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68033 and 68042, than apply into the LCM equation.

GCF(68033,68042) = 1
LCM(68033,68042) = ( 68033 × 68042) / 1
LCM(68033,68042) = 4629101386 / 1
LCM(68033,68042) = 4629101386

Least Common Multiple (LCM) of 68033 and 68042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68033 and 68042. First we will calculate the prime factors of 68033 and 68042.

Prime Factorization of 68033

Prime factors of 68033 are 7, 9719. Prime factorization of 68033 in exponential form is:

68033 = 71 × 97191

Prime Factorization of 68042

Prime factors of 68042 are 2, 13, 2617. Prime factorization of 68042 in exponential form is:

68042 = 21 × 131 × 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 68033 and 68042.

LCM(68033,68042) = 71 × 97191 × 21 × 131 × 26171
LCM(68033,68042) = 4629101386