What is the Least Common Multiple of 81445 and 81459?

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 81445 and 81459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81445 and 81459, than apply into the LCM equation.

GCF(81445,81459) = 7
LCM(81445,81459) = ( 81445 × 81459) / 7
LCM(81445,81459) = 6634428255 / 7
LCM(81445,81459) = 947775465

Least Common Multiple (LCM) of 81445 and 81459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81445 and 81459. First we will calculate the prime factors of 81445 and 81459.

Prime Factorization of 81445

Prime Factorization of 81459

Now multiplying the highest exponent prime factors to calculate the LCM of 81445 and 81459.

LCM(81445,81459) = 5¹ × 7¹ × 13¹ × 179¹ × 3³ × 431¹
LCM(81445,81459) = 947775465