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What is the Least Common Multiple of 92034 and 92054?

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 92034 and 92054 is 4236048918.

LCM(92034,92054) = 4236048918

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Least Common Multiple of 92034 and 92054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92034 and 92054, than apply into the LCM equation.

GCF(92034,92054) = 2
LCM(92034,92054) = ( 92034 × 92054) / 2
LCM(92034,92054) = 8472097836 / 2
LCM(92034,92054) = 4236048918

Least Common Multiple (LCM) of 92034 and 92054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92034 and 92054. First we will calculate the prime factors of 92034 and 92054.

Prime Factorization of 92034

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

92034 = 21 × 32 × 51131

Prime Factorization of 92054

Prime factors of 92054 are 2, 46027. Prime factorization of 92054 in exponential form is:

92054 = 21 × 460271

Now multiplying the highest exponent prime factors to calculate the LCM of 92034 and 92054.

LCM(92034,92054) = 21 × 32 × 51131 × 460271
LCM(92034,92054) = 4236048918