What is the Least Common Multiple of 31777 and 31795?

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 31777 and 31795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31777 and 31795, than apply into the LCM equation.

GCF(31777,31795) = 1
LCM(31777,31795) = ( 31777 × 31795) / 1
LCM(31777,31795) = 1010349715 / 1
LCM(31777,31795) = 1010349715

Least Common Multiple (LCM) of 31777 and 31795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31777 and 31795. First we will calculate the prime factors of 31777 and 31795.

Prime Factorization of 31777

Prime Factorization of 31795

Now multiplying the highest exponent prime factors to calculate the LCM of 31777 and 31795.

LCM(31777,31795) = 43¹ × 739¹ × 5¹ × 6359¹
LCM(31777,31795) = 1010349715