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What is the Least Common Multiple of 54041 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 54041 and 54052 is 2921024132.

LCM(54041,54052) = 2921024132

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Least Common Multiple of 54041 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 54041 and 54052, than apply into the LCM equation.

GCF(54041,54052) = 1
LCM(54041,54052) = ( 54041 × 54052) / 1
LCM(54041,54052) = 2921024132 / 1
LCM(54041,54052) = 2921024132

Least Common Multiple (LCM) of 54041 and 54052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54041 and 54052. First we will calculate the prime factors of 54041 and 54052.

Prime Factorization of 54041

Prime factors of 54041 are 13, 4157. Prime factorization of 54041 in exponential form is:

54041 = 131 × 41571

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 54041 and 54052.

LCM(54041,54052) = 131 × 41571 × 22 × 135131
LCM(54041,54052) = 2921024132