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What is the Least Common Multiple of 5615 and 5632?

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 5615 and 5632 is 31623680.

LCM(5615,5632) = 31623680

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Least Common Multiple of 5615 and 5632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5615 and 5632, than apply into the LCM equation.

GCF(5615,5632) = 1
LCM(5615,5632) = ( 5615 × 5632) / 1
LCM(5615,5632) = 31623680 / 1
LCM(5615,5632) = 31623680

Least Common Multiple (LCM) of 5615 and 5632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5615 and 5632. First we will calculate the prime factors of 5615 and 5632.

Prime Factorization of 5615

Prime factors of 5615 are 5, 1123. Prime factorization of 5615 in exponential form is:

5615 = 51 × 11231

Prime Factorization of 5632

Prime factors of 5632 are 2, 11. Prime factorization of 5632 in exponential form is:

5632 = 29 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 5615 and 5632.

LCM(5615,5632) = 51 × 11231 × 29 × 111
LCM(5615,5632) = 31623680