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What is the Least Common Multiple of 5560 and 5568?

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 5560 and 5568 is 3869760.

LCM(5560,5568) = 3869760

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Least Common Multiple of 5560 and 5568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5560 and 5568, than apply into the LCM equation.

GCF(5560,5568) = 8
LCM(5560,5568) = ( 5560 × 5568) / 8
LCM(5560,5568) = 30958080 / 8
LCM(5560,5568) = 3869760

Least Common Multiple (LCM) of 5560 and 5568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5560 and 5568. First we will calculate the prime factors of 5560 and 5568.

Prime Factorization of 5560

Prime factors of 5560 are 2, 5, 139. Prime factorization of 5560 in exponential form is:

5560 = 23 × 51 × 1391

Prime Factorization of 5568

Prime factors of 5568 are 2, 3, 29. Prime factorization of 5568 in exponential form is:

5568 = 26 × 31 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 5560 and 5568.

LCM(5560,5568) = 26 × 51 × 1391 × 31 × 291
LCM(5560,5568) = 3869760