What is the Least Common Multiple of 81515 and 81533?

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 81533 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 81533, than apply into the LCM equation.

GCF(81515,81533) = 1
LCM(81515,81533) = ( 81515 × 81533) / 1
LCM(81515,81533) = 6646162495 / 1
LCM(81515,81533) = 6646162495

Least Common Multiple (LCM) of 81515 and 81533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81515 and 81533. First we will calculate the prime factors of 81515 and 81533.

Prime Factorization of 81515

Prime Factorization of 81533

Now multiplying the highest exponent prime factors to calculate the LCM of 81515 and 81533.

LCM(81515,81533) = 5¹ × 7¹ × 17¹ × 137¹ × 81533¹
LCM(81515,81533) = 6646162495