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What is the Least Common Multiple of 54254 and 54267?

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 54254 and 54267 is 2944201818.

LCM(54254,54267) = 2944201818

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Least Common Multiple of 54254 and 54267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54254 and 54267, than apply into the LCM equation.

GCF(54254,54267) = 1
LCM(54254,54267) = ( 54254 × 54267) / 1
LCM(54254,54267) = 2944201818 / 1
LCM(54254,54267) = 2944201818

Least Common Multiple (LCM) of 54254 and 54267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54254 and 54267. First we will calculate the prime factors of 54254 and 54267.

Prime Factorization of 54254

Prime factors of 54254 are 2, 27127. Prime factorization of 54254 in exponential form is:

54254 = 21 × 271271

Prime Factorization of 54267

Prime factors of 54267 are 3, 18089. Prime factorization of 54267 in exponential form is:

54267 = 31 × 180891

Now multiplying the highest exponent prime factors to calculate the LCM of 54254 and 54267.

LCM(54254,54267) = 21 × 271271 × 31 × 180891
LCM(54254,54267) = 2944201818