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What is the Least Common Multiple of 55320 and 55324?

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 55320 and 55324 is 765130920.

LCM(55320,55324) = 765130920

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Least Common Multiple of 55320 and 55324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55320 and 55324, than apply into the LCM equation.

GCF(55320,55324) = 4
LCM(55320,55324) = ( 55320 × 55324) / 4
LCM(55320,55324) = 3060523680 / 4
LCM(55320,55324) = 765130920

Least Common Multiple (LCM) of 55320 and 55324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55320 and 55324. First we will calculate the prime factors of 55320 and 55324.

Prime Factorization of 55320

Prime factors of 55320 are 2, 3, 5, 461. Prime factorization of 55320 in exponential form is:

55320 = 23 × 31 × 51 × 4611

Prime Factorization of 55324

Prime factors of 55324 are 2, 13831. Prime factorization of 55324 in exponential form is:

55324 = 22 × 138311

Now multiplying the highest exponent prime factors to calculate the LCM of 55320 and 55324.

LCM(55320,55324) = 23 × 31 × 51 × 4611 × 138311
LCM(55320,55324) = 765130920