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What is the Least Common Multiple of 9778 and 9792?

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 9778 and 9792 is 47873088.

LCM(9778,9792) = 47873088

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Least Common Multiple of 9778 and 9792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9778 and 9792, than apply into the LCM equation.

GCF(9778,9792) = 2
LCM(9778,9792) = ( 9778 × 9792) / 2
LCM(9778,9792) = 95746176 / 2
LCM(9778,9792) = 47873088

Least Common Multiple (LCM) of 9778 and 9792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9778 and 9792. First we will calculate the prime factors of 9778 and 9792.

Prime Factorization of 9778

Prime factors of 9778 are 2, 4889. Prime factorization of 9778 in exponential form is:

9778 = 21 × 48891

Prime Factorization of 9792

Prime factors of 9792 are 2, 3, 17. Prime factorization of 9792 in exponential form is:

9792 = 26 × 32 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 9778 and 9792.

LCM(9778,9792) = 26 × 48891 × 32 × 171
LCM(9778,9792) = 47873088