What is the Least Common Multiple of 30916 and 30934?

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 30916 and 30934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30916 and 30934, than apply into the LCM equation.

GCF(30916,30934) = 2
LCM(30916,30934) = ( 30916 × 30934) / 2
LCM(30916,30934) = 956355544 / 2
LCM(30916,30934) = 478177772

Least Common Multiple (LCM) of 30916 and 30934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30916 and 30934. First we will calculate the prime factors of 30916 and 30934.

Prime Factorization of 30916

Prime Factorization of 30934

Now multiplying the highest exponent prime factors to calculate the LCM of 30916 and 30934.

LCM(30916,30934) = 2² × 59¹ × 131¹ × 15467¹
LCM(30916,30934) = 478177772