What is the Least Common Multiple of 31730 and 31741?

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 31730 and 31741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31730 and 31741, than apply into the LCM equation.

GCF(31730,31741) = 1
LCM(31730,31741) = ( 31730 × 31741) / 1
LCM(31730,31741) = 1007141930 / 1
LCM(31730,31741) = 1007141930

Least Common Multiple (LCM) of 31730 and 31741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31730 and 31741. First we will calculate the prime factors of 31730 and 31741.

Prime Factorization of 31730

Prime Factorization of 31741

Now multiplying the highest exponent prime factors to calculate the LCM of 31730 and 31741.

LCM(31730,31741) = 2¹ × 5¹ × 19¹ × 167¹ × 31741¹
LCM(31730,31741) = 1007141930