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What is the Least Common Multiple of 5537 and 5541?

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 5537 and 5541 is 30680517.

LCM(5537,5541) = 30680517

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Least Common Multiple of 5537 and 5541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5537 and 5541, than apply into the LCM equation.

GCF(5537,5541) = 1
LCM(5537,5541) = ( 5537 × 5541) / 1
LCM(5537,5541) = 30680517 / 1
LCM(5537,5541) = 30680517

Least Common Multiple (LCM) of 5537 and 5541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5537 and 5541. First we will calculate the prime factors of 5537 and 5541.

Prime Factorization of 5537

Prime factors of 5537 are 7, 113. Prime factorization of 5537 in exponential form is:

5537 = 72 × 1131

Prime Factorization of 5541

Prime factors of 5541 are 3, 1847. Prime factorization of 5541 in exponential form is:

5541 = 31 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 5537 and 5541.

LCM(5537,5541) = 72 × 1131 × 31 × 18471
LCM(5537,5541) = 30680517