What is the Least Common Multiple of 48914 and 48934?

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 48914 and 48934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48914 and 48934, than apply into the LCM equation.

GCF(48914,48934) = 2
LCM(48914,48934) = ( 48914 × 48934) / 2
LCM(48914,48934) = 2393557676 / 2
LCM(48914,48934) = 1196778838

Least Common Multiple (LCM) of 48914 and 48934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48914 and 48934. First we will calculate the prime factors of 48914 and 48934.

Prime Factorization of 48914

Prime Factorization of 48934

Now multiplying the highest exponent prime factors to calculate the LCM of 48914 and 48934.

LCM(48914,48934) = 2¹ × 37¹ × 661¹ × 43¹ × 569¹
LCM(48914,48934) = 1196778838