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What is the Least Common Multiple of 5616 and 5630?

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 5616 and 5630 is 15809040.

LCM(5616,5630) = 15809040

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Least Common Multiple of 5616 and 5630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5616 and 5630, than apply into the LCM equation.

GCF(5616,5630) = 2
LCM(5616,5630) = ( 5616 × 5630) / 2
LCM(5616,5630) = 31618080 / 2
LCM(5616,5630) = 15809040

Least Common Multiple (LCM) of 5616 and 5630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5616 and 5630. First we will calculate the prime factors of 5616 and 5630.

Prime Factorization of 5616

Prime factors of 5616 are 2, 3, 13. Prime factorization of 5616 in exponential form is:

5616 = 24 × 33 × 131

Prime Factorization of 5630

Prime factors of 5630 are 2, 5, 563. Prime factorization of 5630 in exponential form is:

5630 = 21 × 51 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 5616 and 5630.

LCM(5616,5630) = 24 × 33 × 131 × 51 × 5631
LCM(5616,5630) = 15809040