What is the Least Common Multiple of 81357 and 81372?

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 81357 and 81372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81357 and 81372, than apply into the LCM equation.

GCF(81357,81372) = 3
LCM(81357,81372) = ( 81357 × 81372) / 3
LCM(81357,81372) = 6620181804 / 3
LCM(81357,81372) = 2206727268

Least Common Multiple (LCM) of 81357 and 81372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81357 and 81372. First we will calculate the prime factors of 81357 and 81372.

Prime Factorization of 81357

Prime Factorization of 81372

Now multiplying the highest exponent prime factors to calculate the LCM of 81357 and 81372.

LCM(81357,81372) = 3¹ × 47¹ × 577¹ × 2² × 6781¹
LCM(81357,81372) = 2206727268