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What is the Least Common Multiple of 54141 and 54157?

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 54141 and 54157 is 2932114137.

LCM(54141,54157) = 2932114137

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Least Common Multiple of 54141 and 54157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54141 and 54157, than apply into the LCM equation.

GCF(54141,54157) = 1
LCM(54141,54157) = ( 54141 × 54157) / 1
LCM(54141,54157) = 2932114137 / 1
LCM(54141,54157) = 2932114137

Least Common Multiple (LCM) of 54141 and 54157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54141 and 54157. First we will calculate the prime factors of 54141 and 54157.

Prime Factorization of 54141

Prime factors of 54141 are 3, 18047. Prime factorization of 54141 in exponential form is:

54141 = 31 × 180471

Prime Factorization of 54157

Prime factors of 54157 are 31, 1747. Prime factorization of 54157 in exponential form is:

54157 = 311 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 54141 and 54157.

LCM(54141,54157) = 31 × 180471 × 311 × 17471
LCM(54141,54157) = 2932114137