What is the Least Common Multiple of 78914 and 78934?

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 78914 and 78934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78914 and 78934, than apply into the LCM equation.

GCF(78914,78934) = 2
LCM(78914,78934) = ( 78914 × 78934) / 2
LCM(78914,78934) = 6228997676 / 2
LCM(78914,78934) = 3114498838

Least Common Multiple (LCM) of 78914 and 78934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78914 and 78934. First we will calculate the prime factors of 78914 and 78934.

Prime Factorization of 78914

Prime Factorization of 78934

Now multiplying the highest exponent prime factors to calculate the LCM of 78914 and 78934.

LCM(78914,78934) = 2¹ × 11¹ × 17¹ × 211¹ × 61¹ × 647¹
LCM(78914,78934) = 3114498838