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What is the Least Common Multiple of 54124 and 54143?

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 54124 and 54143 is 2930435732.

LCM(54124,54143) = 2930435732

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Least Common Multiple of 54124 and 54143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54124 and 54143, than apply into the LCM equation.

GCF(54124,54143) = 1
LCM(54124,54143) = ( 54124 × 54143) / 1
LCM(54124,54143) = 2930435732 / 1
LCM(54124,54143) = 2930435732

Least Common Multiple (LCM) of 54124 and 54143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54124 and 54143. First we will calculate the prime factors of 54124 and 54143.

Prime Factorization of 54124

Prime factors of 54124 are 2, 7, 1933. Prime factorization of 54124 in exponential form is:

54124 = 22 × 71 × 19331

Prime Factorization of 54143

Prime factors of 54143 are 29, 1867. Prime factorization of 54143 in exponential form is:

54143 = 291 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 54124 and 54143.

LCM(54124,54143) = 22 × 71 × 19331 × 291 × 18671
LCM(54124,54143) = 2930435732