What is the Least Common Multiple of 34512 and 34521?

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 34521 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 34521, than apply into the LCM equation.

GCF(34512,34521) = 3
LCM(34512,34521) = ( 34512 × 34521) / 3
LCM(34512,34521) = 1191388752 / 3
LCM(34512,34521) = 397129584

Least Common Multiple (LCM) of 34512 and 34521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34512 and 34521. First we will calculate the prime factors of 34512 and 34521.

Prime Factorization of 34512

Prime Factorization of 34521

Now multiplying the highest exponent prime factors to calculate the LCM of 34512 and 34521.

LCM(34512,34521) = 2⁴ × 3¹ × 719¹ × 37¹ × 311¹
LCM(34512,34521) = 397129584