What is the Least Common Multiple of 81240 and 81251?

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 81251 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 81251, than apply into the LCM equation.

GCF(81240,81251) = 1
LCM(81240,81251) = ( 81240 × 81251) / 1
LCM(81240,81251) = 6600831240 / 1
LCM(81240,81251) = 6600831240

Least Common Multiple (LCM) of 81240 and 81251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81240 and 81251. First we will calculate the prime factors of 81240 and 81251.

Prime Factorization of 81240

Prime Factorization of 81251

Now multiplying the highest exponent prime factors to calculate the LCM of 81240 and 81251.

LCM(81240,81251) = 2³ × 3¹ × 5¹ × 677¹ × 31¹ × 2621¹
LCM(81240,81251) = 6600831240