What is the Least Common Multiple of 82515 and 82535?

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 82515 and 82535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82515 and 82535, than apply into the LCM equation.

GCF(82515,82535) = 5
LCM(82515,82535) = ( 82515 × 82535) / 5
LCM(82515,82535) = 6810375525 / 5
LCM(82515,82535) = 1362075105

Least Common Multiple (LCM) of 82515 and 82535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82515 and 82535. First we will calculate the prime factors of 82515 and 82535.

Prime Factorization of 82515

Prime Factorization of 82535

Now multiplying the highest exponent prime factors to calculate the LCM of 82515 and 82535.

LCM(82515,82535) = 3¹ × 5¹ × 5501¹ × 17¹ × 971¹
LCM(82515,82535) = 1362075105