GCF and LCM Calculator Logo

What is the Least Common Multiple of 17747 and 17761?

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 17747 and 17761 is 315204467.

LCM(17747,17761) = 315204467

LCM Calculator and
and

Least Common Multiple of 17747 and 17761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17747 and 17761, than apply into the LCM equation.

GCF(17747,17761) = 1
LCM(17747,17761) = ( 17747 × 17761) / 1
LCM(17747,17761) = 315204467 / 1
LCM(17747,17761) = 315204467

Least Common Multiple (LCM) of 17747 and 17761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17747 and 17761. First we will calculate the prime factors of 17747 and 17761.

Prime Factorization of 17747

Prime factors of 17747 are 17747. Prime factorization of 17747 in exponential form is:

17747 = 177471

Prime Factorization of 17761

Prime factors of 17761 are 17761. Prime factorization of 17761 in exponential form is:

17761 = 177611

Now multiplying the highest exponent prime factors to calculate the LCM of 17747 and 17761.

LCM(17747,17761) = 177471 × 177611
LCM(17747,17761) = 315204467