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What is the Least Common Multiple of 54004 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 54004 and 54016 is 729270016.

LCM(54004,54016) = 729270016

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Least Common Multiple of 54004 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 54004 and 54016, than apply into the LCM equation.

GCF(54004,54016) = 4
LCM(54004,54016) = ( 54004 × 54016) / 4
LCM(54004,54016) = 2917080064 / 4
LCM(54004,54016) = 729270016

Least Common Multiple (LCM) of 54004 and 54016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54004 and 54016. First we will calculate the prime factors of 54004 and 54016.

Prime Factorization of 54004

Prime factors of 54004 are 2, 23, 587. Prime factorization of 54004 in exponential form is:

54004 = 22 × 231 × 5871

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 54004 and 54016.

LCM(54004,54016) = 28 × 231 × 5871 × 2111
LCM(54004,54016) = 729270016