What is the Least Common Multiple of 34508 and 34518?

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 34508 and 34518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34508 and 34518, than apply into the LCM equation.

GCF(34508,34518) = 2
LCM(34508,34518) = ( 34508 × 34518) / 2
LCM(34508,34518) = 1191147144 / 2
LCM(34508,34518) = 595573572

Least Common Multiple (LCM) of 34508 and 34518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34508 and 34518. First we will calculate the prime factors of 34508 and 34518.

Prime Factorization of 34508

Prime Factorization of 34518

Now multiplying the highest exponent prime factors to calculate the LCM of 34508 and 34518.

LCM(34508,34518) = 2² × 8627¹ × 3¹ × 11¹ × 523¹
LCM(34508,34518) = 595573572