What is the Least Common Multiple of 81240 and 81253?

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 81240 and 81253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81240 and 81253, than apply into the LCM equation.

GCF(81240,81253) = 1
LCM(81240,81253) = ( 81240 × 81253) / 1
LCM(81240,81253) = 6600993720 / 1
LCM(81240,81253) = 6600993720

Least Common Multiple (LCM) of 81240 and 81253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81240 and 81253. First we will calculate the prime factors of 81240 and 81253.

Prime Factorization of 81240

Prime Factorization of 81253

Now multiplying the highest exponent prime factors to calculate the LCM of 81240 and 81253.

LCM(81240,81253) = 2³ × 3¹ × 5¹ × 677¹ × 193¹ × 421¹
LCM(81240,81253) = 6600993720