What is the Least Common Multiple of 17520 and 17535?

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 17520 and 17535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17520 and 17535, than apply into the LCM equation.

GCF(17520,17535) = 15
LCM(17520,17535) = ( 17520 × 17535) / 15
LCM(17520,17535) = 307213200 / 15
LCM(17520,17535) = 20480880

Least Common Multiple (LCM) of 17520 and 17535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17520 and 17535. First we will calculate the prime factors of 17520 and 17535.

Prime Factorization of 17520

Prime Factorization of 17535

Now multiplying the highest exponent prime factors to calculate the LCM of 17520 and 17535.

LCM(17520,17535) = 2⁴ × 3¹ × 5¹ × 73¹ × 7¹ × 167¹
LCM(17520,17535) = 20480880