What is the Least Common Multiple of 3940 and 3958?

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 3940 and 3958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3940 and 3958, than apply into the LCM equation.

GCF(3940,3958) = 2
LCM(3940,3958) = ( 3940 × 3958) / 2
LCM(3940,3958) = 15594520 / 2
LCM(3940,3958) = 7797260

Least Common Multiple (LCM) of 3940 and 3958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3940 and 3958. First we will calculate the prime factors of 3940 and 3958.

Prime Factorization of 3940

Prime Factorization of 3958

Now multiplying the highest exponent prime factors to calculate the LCM of 3940 and 3958.

LCM(3940,3958) = 2² × 5¹ × 197¹ × 1979¹
LCM(3940,3958) = 7797260