What is the Least Common Multiple of 97922 and 97934?

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 97922 and 97934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97922 and 97934, than apply into the LCM equation.

GCF(97922,97934) = 2
LCM(97922,97934) = ( 97922 × 97934) / 2
LCM(97922,97934) = 9589893148 / 2
LCM(97922,97934) = 4794946574

Least Common Multiple (LCM) of 97922 and 97934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97922 and 97934. First we will calculate the prime factors of 97922 and 97934.

Prime Factorization of 97922

Prime Factorization of 97934

Now multiplying the highest exponent prime factors to calculate the LCM of 97922 and 97934.

LCM(97922,97934) = 2¹ × 11¹ × 4451¹ × 23¹ × 2129¹
LCM(97922,97934) = 4794946574