What is the Least Common Multiple of 81444 and 81455?

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 81444 and 81455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81444 and 81455, than apply into the LCM equation.

GCF(81444,81455) = 11
LCM(81444,81455) = ( 81444 × 81455) / 11
LCM(81444,81455) = 6634021020 / 11
LCM(81444,81455) = 603092820

Least Common Multiple (LCM) of 81444 and 81455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81444 and 81455. First we will calculate the prime factors of 81444 and 81455.

Prime Factorization of 81444

Prime Factorization of 81455

Now multiplying the highest exponent prime factors to calculate the LCM of 81444 and 81455.

LCM(81444,81455) = 2² × 3¹ × 11¹ × 617¹ × 5¹ × 1481¹
LCM(81444,81455) = 603092820