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What is the Least Common Multiple of 5502 and 5522?

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 5502 and 5522 is 15191022.

LCM(5502,5522) = 15191022

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Least Common Multiple of 5502 and 5522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5502 and 5522, than apply into the LCM equation.

GCF(5502,5522) = 2
LCM(5502,5522) = ( 5502 × 5522) / 2
LCM(5502,5522) = 30382044 / 2
LCM(5502,5522) = 15191022

Least Common Multiple (LCM) of 5502 and 5522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5502 and 5522. First we will calculate the prime factors of 5502 and 5522.

Prime Factorization of 5502

Prime factors of 5502 are 2, 3, 7, 131. Prime factorization of 5502 in exponential form is:

5502 = 21 × 31 × 71 × 1311

Prime Factorization of 5522

Prime factors of 5522 are 2, 11, 251. Prime factorization of 5522 in exponential form is:

5522 = 21 × 111 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 5502 and 5522.

LCM(5502,5522) = 21 × 31 × 71 × 1311 × 111 × 2511
LCM(5502,5522) = 15191022