What is the Least Common Multiple of 81261 and 81270?

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 81261 and 81270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81261 and 81270, than apply into the LCM equation.

GCF(81261,81270) = 9
LCM(81261,81270) = ( 81261 × 81270) / 9
LCM(81261,81270) = 6604081470 / 9
LCM(81261,81270) = 733786830

Least Common Multiple (LCM) of 81261 and 81270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81261 and 81270. First we will calculate the prime factors of 81261 and 81270.

Prime Factorization of 81261

Prime Factorization of 81270

Now multiplying the highest exponent prime factors to calculate the LCM of 81261 and 81270.

LCM(81261,81270) = 3³ × 9029¹ × 2¹ × 5¹ × 7¹ × 43¹
LCM(81261,81270) = 733786830