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What is the Least Common Multiple of 54388 and 54394?

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 54388 and 54394 is 1479190436.

LCM(54388,54394) = 1479190436

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Least Common Multiple of 54388 and 54394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54388 and 54394, than apply into the LCM equation.

GCF(54388,54394) = 2
LCM(54388,54394) = ( 54388 × 54394) / 2
LCM(54388,54394) = 2958380872 / 2
LCM(54388,54394) = 1479190436

Least Common Multiple (LCM) of 54388 and 54394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54388 and 54394. First we will calculate the prime factors of 54388 and 54394.

Prime Factorization of 54388

Prime factors of 54388 are 2, 13597. Prime factorization of 54388 in exponential form is:

54388 = 22 × 135971

Prime Factorization of 54394

Prime factors of 54394 are 2, 27197. Prime factorization of 54394 in exponential form is:

54394 = 21 × 271971

Now multiplying the highest exponent prime factors to calculate the LCM of 54388 and 54394.

LCM(54388,54394) = 22 × 135971 × 271971
LCM(54388,54394) = 1479190436