GCF and LCM Calculator Logo

What is the Least Common Multiple of 9778 and 9793?

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 9793 is 95755954.

LCM(9778,9793) = 95755954

LCM Calculator and
and

Least Common Multiple of 9778 and 9793 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 9793, than apply into the LCM equation.

GCF(9778,9793) = 1
LCM(9778,9793) = ( 9778 × 9793) / 1
LCM(9778,9793) = 95755954 / 1
LCM(9778,9793) = 95755954

Least Common Multiple (LCM) of 9778 and 9793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9778 and 9793. First we will calculate the prime factors of 9778 and 9793.

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 9793

Prime factors of 9793 are 7, 1399. Prime factorization of 9793 in exponential form is:

9793 = 71 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 9778 and 9793.

LCM(9778,9793) = 21 × 48891 × 71 × 13991
LCM(9778,9793) = 95755954