What is the Least Common Multiple of 17763 and 17783?

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 of 17763 and 17783 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 17783, than apply into the LCM equation.

GCF(17763,17783) = 1
LCM(17763,17783) = ( 17763 × 17783) / 1
LCM(17763,17783) = 315879429 / 1
LCM(17763,17783) = 315879429

Least Common Multiple (LCM) of 17763 and 17783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17763 and 17783. First we will calculate the prime factors of 17763 and 17783.

Prime Factorization of 17763

Prime Factorization of 17783

Now multiplying the highest exponent prime factors to calculate the LCM of 17763 and 17783.

LCM(17763,17783) = 3¹ × 31¹ × 191¹ × 17783¹
LCM(17763,17783) = 315879429