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What is the Least Common Multiple of 54505 and 54512?

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 54505 and 54512 is 2971176560.

LCM(54505,54512) = 2971176560

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Least Common Multiple of 54505 and 54512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54505 and 54512, than apply into the LCM equation.

GCF(54505,54512) = 1
LCM(54505,54512) = ( 54505 × 54512) / 1
LCM(54505,54512) = 2971176560 / 1
LCM(54505,54512) = 2971176560

Least Common Multiple (LCM) of 54505 and 54512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54505 and 54512. First we will calculate the prime factors of 54505 and 54512.

Prime Factorization of 54505

Prime factors of 54505 are 5, 11, 991. Prime factorization of 54505 in exponential form is:

54505 = 51 × 111 × 9911

Prime Factorization of 54512

Prime factors of 54512 are 2, 3407. Prime factorization of 54512 in exponential form is:

54512 = 24 × 34071

Now multiplying the highest exponent prime factors to calculate the LCM of 54505 and 54512.

LCM(54505,54512) = 51 × 111 × 9911 × 24 × 34071
LCM(54505,54512) = 2971176560