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What is the Least Common Multiple of 54038 and 54056?

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 54038 and 54056 is 1460539064.

LCM(54038,54056) = 1460539064

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Least Common Multiple of 54038 and 54056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54038 and 54056, than apply into the LCM equation.

GCF(54038,54056) = 2
LCM(54038,54056) = ( 54038 × 54056) / 2
LCM(54038,54056) = 2921078128 / 2
LCM(54038,54056) = 1460539064

Least Common Multiple (LCM) of 54038 and 54056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54038 and 54056. First we will calculate the prime factors of 54038 and 54056.

Prime Factorization of 54038

Prime factors of 54038 are 2, 41, 659. Prime factorization of 54038 in exponential form is:

54038 = 21 × 411 × 6591

Prime Factorization of 54056

Prime factors of 54056 are 2, 29, 233. Prime factorization of 54056 in exponential form is:

54056 = 23 × 291 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 54038 and 54056.

LCM(54038,54056) = 23 × 411 × 6591 × 291 × 2331
LCM(54038,54056) = 1460539064