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What is the Least Common Multiple of 54034 and 54052?

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 54034 and 54052 is 1460322884.

LCM(54034,54052) = 1460322884

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Least Common Multiple of 54034 and 54052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54034 and 54052, than apply into the LCM equation.

GCF(54034,54052) = 2
LCM(54034,54052) = ( 54034 × 54052) / 2
LCM(54034,54052) = 2920645768 / 2
LCM(54034,54052) = 1460322884

Least Common Multiple (LCM) of 54034 and 54052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54034 and 54052. First we will calculate the prime factors of 54034 and 54052.

Prime Factorization of 54034

Prime factors of 54034 are 2, 27017. Prime factorization of 54034 in exponential form is:

54034 = 21 × 270171

Prime Factorization of 54052

Prime factors of 54052 are 2, 13513. Prime factorization of 54052 in exponential form is:

54052 = 22 × 135131

Now multiplying the highest exponent prime factors to calculate the LCM of 54034 and 54052.

LCM(54034,54052) = 22 × 270171 × 135131
LCM(54034,54052) = 1460322884