What is the Least Common Multiple of 34512 and 34529?

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 34512 and 34529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34512 and 34529, than apply into the LCM equation.

GCF(34512,34529) = 1
LCM(34512,34529) = ( 34512 × 34529) / 1
LCM(34512,34529) = 1191664848 / 1
LCM(34512,34529) = 1191664848

Least Common Multiple (LCM) of 34512 and 34529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34512 and 34529. First we will calculate the prime factors of 34512 and 34529.

Prime Factorization of 34512

Prime Factorization of 34529

Now multiplying the highest exponent prime factors to calculate the LCM of 34512 and 34529.

LCM(34512,34529) = 2⁴ × 3¹ × 719¹ × 11¹ × 43¹ × 73¹
LCM(34512,34529) = 1191664848