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What is the Least Common Multiple of 68022 and 68029?

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 68022 and 68029 is 4627468638.

LCM(68022,68029) = 4627468638

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Least Common Multiple of 68022 and 68029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68022 and 68029, than apply into the LCM equation.

GCF(68022,68029) = 1
LCM(68022,68029) = ( 68022 × 68029) / 1
LCM(68022,68029) = 4627468638 / 1
LCM(68022,68029) = 4627468638

Least Common Multiple (LCM) of 68022 and 68029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68022 and 68029. First we will calculate the prime factors of 68022 and 68029.

Prime Factorization of 68022

Prime factors of 68022 are 2, 3, 3779. Prime factorization of 68022 in exponential form is:

68022 = 21 × 32 × 37791

Prime Factorization of 68029

Prime factors of 68029 are 13, 5233. Prime factorization of 68029 in exponential form is:

68029 = 131 × 52331

Now multiplying the highest exponent prime factors to calculate the LCM of 68022 and 68029.

LCM(68022,68029) = 21 × 32 × 37791 × 131 × 52331
LCM(68022,68029) = 4627468638