What is the Least Common Multiple of 81654 and 81669?

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 81654 and 81669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81654 and 81669, than apply into the LCM equation.

GCF(81654,81669) = 3
LCM(81654,81669) = ( 81654 × 81669) / 3
LCM(81654,81669) = 6668600526 / 3
LCM(81654,81669) = 2222866842

Least Common Multiple (LCM) of 81654 and 81669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81654 and 81669. First we will calculate the prime factors of 81654 and 81669.

Prime Factorization of 81654

Prime Factorization of 81669

Now multiplying the highest exponent prime factors to calculate the LCM of 81654 and 81669.

LCM(81654,81669) = 2¹ × 3¹ × 31¹ × 439¹ × 7¹ × 3889¹
LCM(81654,81669) = 2222866842