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What is the Least Common Multiple of 55390 and 55394?

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 55390 and 55394 is 1534136830.

LCM(55390,55394) = 1534136830

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Least Common Multiple of 55390 and 55394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55390 and 55394, than apply into the LCM equation.

GCF(55390,55394) = 2
LCM(55390,55394) = ( 55390 × 55394) / 2
LCM(55390,55394) = 3068273660 / 2
LCM(55390,55394) = 1534136830

Least Common Multiple (LCM) of 55390 and 55394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55390 and 55394. First we will calculate the prime factors of 55390 and 55394.

Prime Factorization of 55390

Prime factors of 55390 are 2, 5, 29, 191. Prime factorization of 55390 in exponential form is:

55390 = 21 × 51 × 291 × 1911

Prime Factorization of 55394

Prime factors of 55394 are 2, 27697. Prime factorization of 55394 in exponential form is:

55394 = 21 × 276971

Now multiplying the highest exponent prime factors to calculate the LCM of 55390 and 55394.

LCM(55390,55394) = 21 × 51 × 291 × 1911 × 276971
LCM(55390,55394) = 1534136830