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What is the Least Common Multiple of 54012 and 54025?

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 54012 and 54025 is 2917998300.

LCM(54012,54025) = 2917998300

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Least Common Multiple of 54012 and 54025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54012 and 54025, than apply into the LCM equation.

GCF(54012,54025) = 1
LCM(54012,54025) = ( 54012 × 54025) / 1
LCM(54012,54025) = 2917998300 / 1
LCM(54012,54025) = 2917998300

Least Common Multiple (LCM) of 54012 and 54025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54012 and 54025. First we will calculate the prime factors of 54012 and 54025.

Prime Factorization of 54012

Prime factors of 54012 are 2, 3, 7, 643. Prime factorization of 54012 in exponential form is:

54012 = 22 × 31 × 71 × 6431

Prime Factorization of 54025

Prime factors of 54025 are 5, 2161. Prime factorization of 54025 in exponential form is:

54025 = 52 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 54012 and 54025.

LCM(54012,54025) = 22 × 31 × 71 × 6431 × 52 × 21611
LCM(54012,54025) = 2917998300