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What is the Least Common Multiple of 54038 and 54053?

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 54053 is 2920916014.

LCM(54038,54053) = 2920916014

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Least Common Multiple of 54038 and 54053 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 54053, than apply into the LCM equation.

GCF(54038,54053) = 1
LCM(54038,54053) = ( 54038 × 54053) / 1
LCM(54038,54053) = 2920916014 / 1
LCM(54038,54053) = 2920916014

Least Common Multiple (LCM) of 54038 and 54053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54038 and 54053. First we will calculate the prime factors of 54038 and 54053.

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 54053

Prime factors of 54053 are 191, 283. Prime factorization of 54053 in exponential form is:

54053 = 1911 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 54038 and 54053.

LCM(54038,54053) = 21 × 411 × 6591 × 1911 × 2831
LCM(54038,54053) = 2920916014