What is the Least Common Multiple of 3916 and 3934?

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 3916 and 3934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3916 and 3934, than apply into the LCM equation.

GCF(3916,3934) = 2
LCM(3916,3934) = ( 3916 × 3934) / 2
LCM(3916,3934) = 15405544 / 2
LCM(3916,3934) = 7702772

Least Common Multiple (LCM) of 3916 and 3934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3916 and 3934. First we will calculate the prime factors of 3916 and 3934.

Prime Factorization of 3916

Prime Factorization of 3934

Now multiplying the highest exponent prime factors to calculate the LCM of 3916 and 3934.

LCM(3916,3934) = 2² × 11¹ × 89¹ × 7¹ × 281¹
LCM(3916,3934) = 7702772