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What is the Least Common Multiple of 92020 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 92020 and 92029 is 8468508580.

LCM(92020,92029) = 8468508580

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Least Common Multiple of 92020 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 92020 and 92029, than apply into the LCM equation.

GCF(92020,92029) = 1
LCM(92020,92029) = ( 92020 × 92029) / 1
LCM(92020,92029) = 8468508580 / 1
LCM(92020,92029) = 8468508580

Least Common Multiple (LCM) of 92020 and 92029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92020 and 92029. First we will calculate the prime factors of 92020 and 92029.

Prime Factorization of 92020

Prime factors of 92020 are 2, 5, 43, 107. Prime factorization of 92020 in exponential form is:

92020 = 22 × 51 × 431 × 1071

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 92020 and 92029.

LCM(92020,92029) = 22 × 51 × 431 × 1071 × 71 × 131471
LCM(92020,92029) = 8468508580