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What is the Least Common Multiple of 5547 and 5551?

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 5547 and 5551 is 30791397.

LCM(5547,5551) = 30791397

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Least Common Multiple of 5547 and 5551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5547 and 5551, than apply into the LCM equation.

GCF(5547,5551) = 1
LCM(5547,5551) = ( 5547 × 5551) / 1
LCM(5547,5551) = 30791397 / 1
LCM(5547,5551) = 30791397

Least Common Multiple (LCM) of 5547 and 5551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5547 and 5551. First we will calculate the prime factors of 5547 and 5551.

Prime Factorization of 5547

Prime factors of 5547 are 3, 43. Prime factorization of 5547 in exponential form is:

5547 = 31 × 432

Prime Factorization of 5551

Prime factors of 5551 are 7, 13, 61. Prime factorization of 5551 in exponential form is:

5551 = 71 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 5547 and 5551.

LCM(5547,5551) = 31 × 432 × 71 × 131 × 611
LCM(5547,5551) = 30791397