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What is the Least Common Multiple of 48896 and 48906?

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 48896 and 48906 is 1195653888.

LCM(48896,48906) = 1195653888

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Least Common Multiple of 48896 and 48906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48896 and 48906, than apply into the LCM equation.

GCF(48896,48906) = 2
LCM(48896,48906) = ( 48896 × 48906) / 2
LCM(48896,48906) = 2391307776 / 2
LCM(48896,48906) = 1195653888

Least Common Multiple (LCM) of 48896 and 48906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48896 and 48906. First we will calculate the prime factors of 48896 and 48906.

Prime Factorization of 48896

Prime factors of 48896 are 2, 191. Prime factorization of 48896 in exponential form is:

48896 = 28 × 1911

Prime Factorization of 48906

Prime factors of 48906 are 2, 3, 11, 13, 19. Prime factorization of 48906 in exponential form is:

48906 = 21 × 32 × 111 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 48896 and 48906.

LCM(48896,48906) = 28 × 1911 × 32 × 111 × 131 × 191
LCM(48896,48906) = 1195653888

Related Least Common Multiples of 48896

Related Least Common Multiples of 48906