What is the Least Common Multiple of 34530 and 34539?

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 34530 and 34539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34530 and 34539, than apply into the LCM equation.

GCF(34530,34539) = 3
LCM(34530,34539) = ( 34530 × 34539) / 3
LCM(34530,34539) = 1192631670 / 3
LCM(34530,34539) = 397543890

Least Common Multiple (LCM) of 34530 and 34539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34530 and 34539. First we will calculate the prime factors of 34530 and 34539.

Prime Factorization of 34530

Prime Factorization of 34539

Now multiplying the highest exponent prime factors to calculate the LCM of 34530 and 34539.

LCM(34530,34539) = 2¹ × 3¹ × 5¹ × 1151¹ × 29¹ × 397¹
LCM(34530,34539) = 397543890