What is the Least Common Multiple of 34923 and 34937?

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 34923 and 34937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34923 and 34937, than apply into the LCM equation.

GCF(34923,34937) = 7
LCM(34923,34937) = ( 34923 × 34937) / 7
LCM(34923,34937) = 1220104851 / 7
LCM(34923,34937) = 174300693

Least Common Multiple (LCM) of 34923 and 34937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34923 and 34937. First we will calculate the prime factors of 34923 and 34937.

Prime Factorization of 34923

Prime Factorization of 34937

Now multiplying the highest exponent prime factors to calculate the LCM of 34923 and 34937.

LCM(34923,34937) = 3¹ × 7² × 1663¹ × 23¹ × 31¹
LCM(34923,34937) = 174300693