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What is the Least Common Multiple of 55494 and 55499?

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 55494 and 55499 is 3079861506.

LCM(55494,55499) = 3079861506

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Least Common Multiple of 55494 and 55499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55494 and 55499, than apply into the LCM equation.

GCF(55494,55499) = 1
LCM(55494,55499) = ( 55494 × 55499) / 1
LCM(55494,55499) = 3079861506 / 1
LCM(55494,55499) = 3079861506

Least Common Multiple (LCM) of 55494 and 55499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55494 and 55499. First we will calculate the prime factors of 55494 and 55499.

Prime Factorization of 55494

Prime factors of 55494 are 2, 3, 3083. Prime factorization of 55494 in exponential form is:

55494 = 21 × 32 × 30831

Prime Factorization of 55499

Prime factors of 55499 are 19, 23, 127. Prime factorization of 55499 in exponential form is:

55499 = 191 × 231 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 55494 and 55499.

LCM(55494,55499) = 21 × 32 × 30831 × 191 × 231 × 1271
LCM(55494,55499) = 3079861506