What is the Least Common Multiple of 34524 and 34540?

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 34524 and 34540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34524 and 34540, than apply into the LCM equation.

GCF(34524,34540) = 4
LCM(34524,34540) = ( 34524 × 34540) / 4
LCM(34524,34540) = 1192458960 / 4
LCM(34524,34540) = 298114740

Least Common Multiple (LCM) of 34524 and 34540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34524 and 34540. First we will calculate the prime factors of 34524 and 34540.

Prime Factorization of 34524

Prime Factorization of 34540

Now multiplying the highest exponent prime factors to calculate the LCM of 34524 and 34540.

LCM(34524,34540) = 2² × 3² × 7¹ × 137¹ × 5¹ × 11¹ × 157¹
LCM(34524,34540) = 298114740