What is the Least Common Multiple of 34548 and 34556?

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 34548 and 34556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34548 and 34556, than apply into the LCM equation.

GCF(34548,34556) = 4
LCM(34548,34556) = ( 34548 × 34556) / 4
LCM(34548,34556) = 1193840688 / 4
LCM(34548,34556) = 298460172

Least Common Multiple (LCM) of 34548 and 34556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34548 and 34556. First we will calculate the prime factors of 34548 and 34556.

Prime Factorization of 34548

Prime Factorization of 34556

Now multiplying the highest exponent prime factors to calculate the LCM of 34548 and 34556.

LCM(34548,34556) = 2² × 3¹ × 2879¹ × 53¹ × 163¹
LCM(34548,34556) = 298460172