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What is the Least Common Multiple of 54282 and 54299?

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 54282 and 54299 is 2947458318.

LCM(54282,54299) = 2947458318

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Least Common Multiple of 54282 and 54299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54282 and 54299, than apply into the LCM equation.

GCF(54282,54299) = 1
LCM(54282,54299) = ( 54282 × 54299) / 1
LCM(54282,54299) = 2947458318 / 1
LCM(54282,54299) = 2947458318

Least Common Multiple (LCM) of 54282 and 54299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54282 and 54299. First we will calculate the prime factors of 54282 and 54299.

Prime Factorization of 54282

Prime factors of 54282 are 2, 3, 83, 109. Prime factorization of 54282 in exponential form is:

54282 = 21 × 31 × 831 × 1091

Prime Factorization of 54299

Prime factors of 54299 are 7, 7757. Prime factorization of 54299 in exponential form is:

54299 = 71 × 77571

Now multiplying the highest exponent prime factors to calculate the LCM of 54282 and 54299.

LCM(54282,54299) = 21 × 31 × 831 × 1091 × 71 × 77571
LCM(54282,54299) = 2947458318