What is the Least Common Multiple of 81435 and 81448?

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 81435 and 81448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81435 and 81448, than apply into the LCM equation.

GCF(81435,81448) = 1
LCM(81435,81448) = ( 81435 × 81448) / 1
LCM(81435,81448) = 6632717880 / 1
LCM(81435,81448) = 6632717880

Least Common Multiple (LCM) of 81435 and 81448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81435 and 81448. First we will calculate the prime factors of 81435 and 81448.

Prime Factorization of 81435

Prime Factorization of 81448

Now multiplying the highest exponent prime factors to calculate the LCM of 81435 and 81448.

LCM(81435,81448) = 3¹ × 5¹ × 61¹ × 89¹ × 2³ × 10181¹
LCM(81435,81448) = 6632717880