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What is the Least Common Multiple of 54064 and 54081?

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 54064 and 54081 is 2923835184.

LCM(54064,54081) = 2923835184

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Least Common Multiple of 54064 and 54081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54064 and 54081, than apply into the LCM equation.

GCF(54064,54081) = 1
LCM(54064,54081) = ( 54064 × 54081) / 1
LCM(54064,54081) = 2923835184 / 1
LCM(54064,54081) = 2923835184

Least Common Multiple (LCM) of 54064 and 54081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54064 and 54081. First we will calculate the prime factors of 54064 and 54081.

Prime Factorization of 54064

Prime factors of 54064 are 2, 31, 109. Prime factorization of 54064 in exponential form is:

54064 = 24 × 311 × 1091

Prime Factorization of 54081

Prime factors of 54081 are 3, 2003. Prime factorization of 54081 in exponential form is:

54081 = 33 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 54064 and 54081.

LCM(54064,54081) = 24 × 311 × 1091 × 33 × 20031
LCM(54064,54081) = 2923835184