GCF and LCM Calculator Logo

What is the Least Common Multiple of 17763 and 17780?

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 17763 and 17780 is 315826140.

LCM(17763,17780) = 315826140

LCM Calculator and
and

Least Common Multiple of 17763 and 17780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17763 and 17780, than apply into the LCM equation.

GCF(17763,17780) = 1
LCM(17763,17780) = ( 17763 × 17780) / 1
LCM(17763,17780) = 315826140 / 1
LCM(17763,17780) = 315826140

Least Common Multiple (LCM) of 17763 and 17780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17763 and 17780. First we will calculate the prime factors of 17763 and 17780.

Prime Factorization of 17763

Prime factors of 17763 are 3, 31, 191. Prime factorization of 17763 in exponential form is:

17763 = 31 × 311 × 1911

Prime Factorization of 17780

Prime factors of 17780 are 2, 5, 7, 127. Prime factorization of 17780 in exponential form is:

17780 = 22 × 51 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 17763 and 17780.

LCM(17763,17780) = 31 × 311 × 1911 × 22 × 51 × 71 × 1271
LCM(17763,17780) = 315826140