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What is the Least Common Multiple of 92038 and 92049?

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 92038 and 92049 is 8472005862.

LCM(92038,92049) = 8472005862

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Least Common Multiple of 92038 and 92049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92038 and 92049, than apply into the LCM equation.

GCF(92038,92049) = 1
LCM(92038,92049) = ( 92038 × 92049) / 1
LCM(92038,92049) = 8472005862 / 1
LCM(92038,92049) = 8472005862

Least Common Multiple (LCM) of 92038 and 92049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92038 and 92049. First we will calculate the prime factors of 92038 and 92049.

Prime Factorization of 92038

Prime factors of 92038 are 2, 17, 2707. Prime factorization of 92038 in exponential form is:

92038 = 21 × 171 × 27071

Prime Factorization of 92049

Prime factors of 92049 are 3, 61, 503. Prime factorization of 92049 in exponential form is:

92049 = 31 × 611 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 92038 and 92049.

LCM(92038,92049) = 21 × 171 × 27071 × 31 × 611 × 5031
LCM(92038,92049) = 8472005862