What is the Least Common Multiple of 13940 and 13958?

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 13940 and 13958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13940 and 13958, than apply into the LCM equation.

GCF(13940,13958) = 2
LCM(13940,13958) = ( 13940 × 13958) / 2
LCM(13940,13958) = 194574520 / 2
LCM(13940,13958) = 97287260

Least Common Multiple (LCM) of 13940 and 13958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13940 and 13958. First we will calculate the prime factors of 13940 and 13958.

Prime Factorization of 13940

Prime Factorization of 13958

Now multiplying the highest exponent prime factors to calculate the LCM of 13940 and 13958.

LCM(13940,13958) = 2² × 5¹ × 17¹ × 41¹ × 7¹ × 997¹
LCM(13940,13958) = 97287260