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What is the Least Common Multiple of 8860 and 8864?

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 8860 and 8864 is 19633760.

LCM(8860,8864) = 19633760

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Least Common Multiple of 8860 and 8864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8860 and 8864, than apply into the LCM equation.

GCF(8860,8864) = 4
LCM(8860,8864) = ( 8860 × 8864) / 4
LCM(8860,8864) = 78535040 / 4
LCM(8860,8864) = 19633760

Least Common Multiple (LCM) of 8860 and 8864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8860 and 8864. First we will calculate the prime factors of 8860 and 8864.

Prime Factorization of 8860

Prime factors of 8860 are 2, 5, 443. Prime factorization of 8860 in exponential form is:

8860 = 22 × 51 × 4431

Prime Factorization of 8864

Prime factors of 8864 are 2, 277. Prime factorization of 8864 in exponential form is:

8864 = 25 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 8860 and 8864.

LCM(8860,8864) = 25 × 51 × 4431 × 2771
LCM(8860,8864) = 19633760