What is the Least Common Multiple of 34922 and 34934?

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 34922 and 34934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34922 and 34934, than apply into the LCM equation.

GCF(34922,34934) = 2
LCM(34922,34934) = ( 34922 × 34934) / 2
LCM(34922,34934) = 1219965148 / 2
LCM(34922,34934) = 609982574

Least Common Multiple (LCM) of 34922 and 34934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34922 and 34934. First we will calculate the prime factors of 34922 and 34934.

Prime Factorization of 34922

Prime Factorization of 34934

Now multiplying the highest exponent prime factors to calculate the LCM of 34922 and 34934.

LCM(34922,34934) = 2¹ × 19¹ × 919¹ × 17467¹
LCM(34922,34934) = 609982574