What is the Least Common Multiple of 34510 and 34524?

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 34510 and 34524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34510 and 34524, than apply into the LCM equation.

GCF(34510,34524) = 14
LCM(34510,34524) = ( 34510 × 34524) / 14
LCM(34510,34524) = 1191423240 / 14
LCM(34510,34524) = 85101660

Least Common Multiple (LCM) of 34510 and 34524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34510 and 34524. First we will calculate the prime factors of 34510 and 34524.

Prime Factorization of 34510

Prime Factorization of 34524

Now multiplying the highest exponent prime factors to calculate the LCM of 34510 and 34524.

LCM(34510,34524) = 2² × 5¹ × 7¹ × 17¹ × 29¹ × 3² × 137¹
LCM(34510,34524) = 85101660