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What is the Least Common Multiple of 5606 and 5624?

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 5606 and 5624 is 15764072.

LCM(5606,5624) = 15764072

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Least Common Multiple of 5606 and 5624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5606 and 5624, than apply into the LCM equation.

GCF(5606,5624) = 2
LCM(5606,5624) = ( 5606 × 5624) / 2
LCM(5606,5624) = 31528144 / 2
LCM(5606,5624) = 15764072

Least Common Multiple (LCM) of 5606 and 5624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5606 and 5624. First we will calculate the prime factors of 5606 and 5624.

Prime Factorization of 5606

Prime factors of 5606 are 2, 2803. Prime factorization of 5606 in exponential form is:

5606 = 21 × 28031

Prime Factorization of 5624

Prime factors of 5624 are 2, 19, 37. Prime factorization of 5624 in exponential form is:

5624 = 23 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 5606 and 5624.

LCM(5606,5624) = 23 × 28031 × 191 × 371
LCM(5606,5624) = 15764072