What is the Least Common Multiple of 34916 and 34923?

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 34916 and 34923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34916 and 34923, than apply into the LCM equation.

GCF(34916,34923) = 7
LCM(34916,34923) = ( 34916 × 34923) / 7
LCM(34916,34923) = 1219371468 / 7
LCM(34916,34923) = 174195924

Least Common Multiple (LCM) of 34916 and 34923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34916 and 34923. First we will calculate the prime factors of 34916 and 34923.

Prime Factorization of 34916

Prime Factorization of 34923

Now multiplying the highest exponent prime factors to calculate the LCM of 34916 and 34923.

LCM(34916,34923) = 2² × 7¹ × 29¹ × 43¹ × 3¹ × 1663¹
LCM(34916,34923) = 174195924