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What is the Least Common Multiple of 15672 and 15680?

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 15672 and 15680 is 30717120.

LCM(15672,15680) = 30717120

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Least Common Multiple of 15672 and 15680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15672 and 15680, than apply into the LCM equation.

GCF(15672,15680) = 8
LCM(15672,15680) = ( 15672 × 15680) / 8
LCM(15672,15680) = 245736960 / 8
LCM(15672,15680) = 30717120

Least Common Multiple (LCM) of 15672 and 15680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15672 and 15680. First we will calculate the prime factors of 15672 and 15680.

Prime Factorization of 15672

Prime factors of 15672 are 2, 3, 653. Prime factorization of 15672 in exponential form is:

15672 = 23 × 31 × 6531

Prime Factorization of 15680

Prime factors of 15680 are 2, 5, 7. Prime factorization of 15680 in exponential form is:

15680 = 26 × 51 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 15672 and 15680.

LCM(15672,15680) = 26 × 31 × 6531 × 51 × 72
LCM(15672,15680) = 30717120