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What is the Least Common Multiple of 27896 and 27910?

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 27896 and 27910 is 389288680.

LCM(27896,27910) = 389288680

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Least Common Multiple of 27896 and 27910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27896 and 27910, than apply into the LCM equation.

GCF(27896,27910) = 2
LCM(27896,27910) = ( 27896 × 27910) / 2
LCM(27896,27910) = 778577360 / 2
LCM(27896,27910) = 389288680

Least Common Multiple (LCM) of 27896 and 27910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27896 and 27910. First we will calculate the prime factors of 27896 and 27910.

Prime Factorization of 27896

Prime factors of 27896 are 2, 11, 317. Prime factorization of 27896 in exponential form is:

27896 = 23 × 111 × 3171

Prime Factorization of 27910

Prime factors of 27910 are 2, 5, 2791. Prime factorization of 27910 in exponential form is:

27910 = 21 × 51 × 27911

Now multiplying the highest exponent prime factors to calculate the LCM of 27896 and 27910.

LCM(27896,27910) = 23 × 111 × 3171 × 51 × 27911
LCM(27896,27910) = 389288680