What is the Least Common Multiple of 17535 and 17540?

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 17535 and 17540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17535 and 17540, than apply into the LCM equation.

GCF(17535,17540) = 5
LCM(17535,17540) = ( 17535 × 17540) / 5
LCM(17535,17540) = 307563900 / 5
LCM(17535,17540) = 61512780

Least Common Multiple (LCM) of 17535 and 17540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17535 and 17540. First we will calculate the prime factors of 17535 and 17540.

Prime Factorization of 17535

Prime Factorization of 17540

Now multiplying the highest exponent prime factors to calculate the LCM of 17535 and 17540.

LCM(17535,17540) = 3¹ × 5¹ × 7¹ × 167¹ × 2² × 877¹
LCM(17535,17540) = 61512780