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What is the Least Common Multiple of 5529 and 5538?

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 5529 and 5538 is 10206534.

LCM(5529,5538) = 10206534

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Least Common Multiple of 5529 and 5538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5529 and 5538, than apply into the LCM equation.

GCF(5529,5538) = 3
LCM(5529,5538) = ( 5529 × 5538) / 3
LCM(5529,5538) = 30619602 / 3
LCM(5529,5538) = 10206534

Least Common Multiple (LCM) of 5529 and 5538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5529 and 5538. First we will calculate the prime factors of 5529 and 5538.

Prime Factorization of 5529

Prime factors of 5529 are 3, 19, 97. Prime factorization of 5529 in exponential form is:

5529 = 31 × 191 × 971

Prime Factorization of 5538

Prime factors of 5538 are 2, 3, 13, 71. Prime factorization of 5538 in exponential form is:

5538 = 21 × 31 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 5529 and 5538.

LCM(5529,5538) = 31 × 191 × 971 × 21 × 131 × 711
LCM(5529,5538) = 10206534