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What is the Least Common Multiple of 5499 and 5509?

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 5499 and 5509 is 30293991.

LCM(5499,5509) = 30293991

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Least Common Multiple of 5499 and 5509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5499 and 5509, than apply into the LCM equation.

GCF(5499,5509) = 1
LCM(5499,5509) = ( 5499 × 5509) / 1
LCM(5499,5509) = 30293991 / 1
LCM(5499,5509) = 30293991

Least Common Multiple (LCM) of 5499 and 5509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5499 and 5509. First we will calculate the prime factors of 5499 and 5509.

Prime Factorization of 5499

Prime factors of 5499 are 3, 13, 47. Prime factorization of 5499 in exponential form is:

5499 = 32 × 131 × 471

Prime Factorization of 5509

Prime factors of 5509 are 7, 787. Prime factorization of 5509 in exponential form is:

5509 = 71 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 5499 and 5509.

LCM(5499,5509) = 32 × 131 × 471 × 71 × 7871
LCM(5499,5509) = 30293991