What is the Least Common Multiple of 34530 and 34538?

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 34538 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 34538, than apply into the LCM equation.

GCF(34530,34538) = 2
LCM(34530,34538) = ( 34530 × 34538) / 2
LCM(34530,34538) = 1192597140 / 2
LCM(34530,34538) = 596298570

Least Common Multiple (LCM) of 34530 and 34538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34530 and 34538. First we will calculate the prime factors of 34530 and 34538.

Prime Factorization of 34530

Prime Factorization of 34538

Now multiplying the highest exponent prime factors to calculate the LCM of 34530 and 34538.

LCM(34530,34538) = 2¹ × 3¹ × 5¹ × 1151¹ × 7¹ × 2467¹
LCM(34530,34538) = 596298570