GCF and LCM Calculator Logo

What is the Least Common Multiple of 5747 and 5763?

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 5747 and 5763 is 33119961.

LCM(5747,5763) = 33119961

LCM Calculator and
and

Least Common Multiple of 5747 and 5763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5747 and 5763, than apply into the LCM equation.

GCF(5747,5763) = 1
LCM(5747,5763) = ( 5747 × 5763) / 1
LCM(5747,5763) = 33119961 / 1
LCM(5747,5763) = 33119961

Least Common Multiple (LCM) of 5747 and 5763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5747 and 5763. First we will calculate the prime factors of 5747 and 5763.

Prime Factorization of 5747

Prime factors of 5747 are 7, 821. Prime factorization of 5747 in exponential form is:

5747 = 71 × 8211

Prime Factorization of 5763

Prime factors of 5763 are 3, 17, 113. Prime factorization of 5763 in exponential form is:

5763 = 31 × 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5747 and 5763.

LCM(5747,5763) = 71 × 8211 × 31 × 171 × 1131
LCM(5747,5763) = 33119961