What is the Least Common Multiple of 7940 and 7958?

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 7940 and 7958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7940 and 7958, than apply into the LCM equation.

GCF(7940,7958) = 2
LCM(7940,7958) = ( 7940 × 7958) / 2
LCM(7940,7958) = 63186520 / 2
LCM(7940,7958) = 31593260

Least Common Multiple (LCM) of 7940 and 7958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7940 and 7958. First we will calculate the prime factors of 7940 and 7958.

Prime Factorization of 7940

Prime Factorization of 7958

Now multiplying the highest exponent prime factors to calculate the LCM of 7940 and 7958.

LCM(7940,7958) = 2² × 5¹ × 397¹ × 23¹ × 173¹
LCM(7940,7958) = 31593260