What is the Least Common Multiple of 81465 and 81485?

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 81465 and 81485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81465 and 81485, than apply into the LCM equation.

GCF(81465,81485) = 5
LCM(81465,81485) = ( 81465 × 81485) / 5
LCM(81465,81485) = 6638175525 / 5
LCM(81465,81485) = 1327635105

Least Common Multiple (LCM) of 81465 and 81485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81465 and 81485. First we will calculate the prime factors of 81465 and 81485.

Prime Factorization of 81465

Prime Factorization of 81485

Now multiplying the highest exponent prime factors to calculate the LCM of 81465 and 81485.

LCM(81465,81485) = 3¹ × 5¹ × 5431¹ × 43¹ × 379¹
LCM(81465,81485) = 1327635105