What is the Least Common Multiple of 34009 and 34023?

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 34009 and 34023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34009 and 34023, than apply into the LCM equation.

GCF(34009,34023) = 1
LCM(34009,34023) = ( 34009 × 34023) / 1
LCM(34009,34023) = 1157088207 / 1
LCM(34009,34023) = 1157088207

Least Common Multiple (LCM) of 34009 and 34023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34009 and 34023. First we will calculate the prime factors of 34009 and 34023.

Prime Factorization of 34009

Prime Factorization of 34023

Now multiplying the highest exponent prime factors to calculate the LCM of 34009 and 34023.

LCM(34009,34023) = 71¹ × 479¹ × 3¹ × 11¹ × 1031¹
LCM(34009,34023) = 1157088207