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What is the Least Common Multiple of 92019 and 92034?

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 92019 and 92034 is 2822958882.

LCM(92019,92034) = 2822958882

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Least Common Multiple of 92019 and 92034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92019 and 92034, than apply into the LCM equation.

GCF(92019,92034) = 3
LCM(92019,92034) = ( 92019 × 92034) / 3
LCM(92019,92034) = 8468876646 / 3
LCM(92019,92034) = 2822958882

Least Common Multiple (LCM) of 92019 and 92034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92019 and 92034. First we will calculate the prime factors of 92019 and 92034.

Prime Factorization of 92019

Prime factors of 92019 are 3, 37, 829. Prime factorization of 92019 in exponential form is:

92019 = 31 × 371 × 8291

Prime Factorization of 92034

Prime factors of 92034 are 2, 3, 5113. Prime factorization of 92034 in exponential form is:

92034 = 21 × 32 × 51131

Now multiplying the highest exponent prime factors to calculate the LCM of 92019 and 92034.

LCM(92019,92034) = 32 × 371 × 8291 × 21 × 51131
LCM(92019,92034) = 2822958882