What is the Least Common Multiple of 81459 and 81468?

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 81459 and 81468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81459 and 81468, than apply into the LCM equation.

GCF(81459,81468) = 9
LCM(81459,81468) = ( 81459 × 81468) / 9
LCM(81459,81468) = 6636301812 / 9
LCM(81459,81468) = 737366868

Least Common Multiple (LCM) of 81459 and 81468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81459 and 81468. First we will calculate the prime factors of 81459 and 81468.

Prime Factorization of 81459

Prime Factorization of 81468

Now multiplying the highest exponent prime factors to calculate the LCM of 81459 and 81468.

LCM(81459,81468) = 3³ × 7¹ × 431¹ × 2² × 31¹ × 73¹
LCM(81459,81468) = 737366868