What is the Least Common Multiple of 31757 and 31777?

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 31757 and 31777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31757 and 31777, than apply into the LCM equation.

GCF(31757,31777) = 1
LCM(31757,31777) = ( 31757 × 31777) / 1
LCM(31757,31777) = 1009142189 / 1
LCM(31757,31777) = 1009142189

Least Common Multiple (LCM) of 31757 and 31777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31757 and 31777. First we will calculate the prime factors of 31757 and 31777.

Prime Factorization of 31757

Prime Factorization of 31777

Now multiplying the highest exponent prime factors to calculate the LCM of 31757 and 31777.

LCM(31757,31777) = 11¹ × 2887¹ × 43¹ × 739¹
LCM(31757,31777) = 1009142189