What is the Least Common Multiple of 81505 and 81520?

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 81505 and 81520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81505 and 81520, than apply into the LCM equation.

GCF(81505,81520) = 5
LCM(81505,81520) = ( 81505 × 81520) / 5
LCM(81505,81520) = 6644287600 / 5
LCM(81505,81520) = 1328857520

Least Common Multiple (LCM) of 81505 and 81520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81505 and 81520. First we will calculate the prime factors of 81505 and 81520.

Prime Factorization of 81505

Prime Factorization of 81520

Now multiplying the highest exponent prime factors to calculate the LCM of 81505 and 81520.

LCM(81505,81520) = 5¹ × 16301¹ × 2⁴ × 1019¹
LCM(81505,81520) = 1328857520