What is the Least Common Multiple of 81515 and 81535?

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 81515 and 81535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81515 and 81535, than apply into the LCM equation.

GCF(81515,81535) = 5
LCM(81515,81535) = ( 81515 × 81535) / 5
LCM(81515,81535) = 6646325525 / 5
LCM(81515,81535) = 1329265105

Least Common Multiple (LCM) of 81515 and 81535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81515 and 81535. First we will calculate the prime factors of 81515 and 81535.

Prime Factorization of 81515

Prime Factorization of 81535

Now multiplying the highest exponent prime factors to calculate the LCM of 81515 and 81535.

LCM(81515,81535) = 5¹ × 7¹ × 17¹ × 137¹ × 23¹ × 709¹
LCM(81515,81535) = 1329265105