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What is the Least Common Multiple of 92022 and 92029?

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 92022 and 92029 is 1209813234.

LCM(92022,92029) = 1209813234

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Least Common Multiple of 92022 and 92029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92022 and 92029, than apply into the LCM equation.

GCF(92022,92029) = 7
LCM(92022,92029) = ( 92022 × 92029) / 7
LCM(92022,92029) = 8468692638 / 7
LCM(92022,92029) = 1209813234

Least Common Multiple (LCM) of 92022 and 92029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92022 and 92029. First we will calculate the prime factors of 92022 and 92029.

Prime Factorization of 92022

Prime factors of 92022 are 2, 3, 7, 313. Prime factorization of 92022 in exponential form is:

92022 = 21 × 31 × 72 × 3131

Prime Factorization of 92029

Prime factors of 92029 are 7, 13147. Prime factorization of 92029 in exponential form is:

92029 = 71 × 131471

Now multiplying the highest exponent prime factors to calculate the LCM of 92022 and 92029.

LCM(92022,92029) = 21 × 31 × 72 × 3131 × 131471
LCM(92022,92029) = 1209813234