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What is the Least Common Multiple of 54002 and 54016?

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 54002 and 54016 is 1458486016.

LCM(54002,54016) = 1458486016

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Least Common Multiple of 54002 and 54016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54002 and 54016, than apply into the LCM equation.

GCF(54002,54016) = 2
LCM(54002,54016) = ( 54002 × 54016) / 2
LCM(54002,54016) = 2916972032 / 2
LCM(54002,54016) = 1458486016

Least Common Multiple (LCM) of 54002 and 54016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54002 and 54016. First we will calculate the prime factors of 54002 and 54016.

Prime Factorization of 54002

Prime factors of 54002 are 2, 13, 31, 67. Prime factorization of 54002 in exponential form is:

54002 = 21 × 131 × 311 × 671

Prime Factorization of 54016

Prime factors of 54016 are 2, 211. Prime factorization of 54016 in exponential form is:

54016 = 28 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 54002 and 54016.

LCM(54002,54016) = 28 × 131 × 311 × 671 × 2111
LCM(54002,54016) = 1458486016