What is the Least Common Multiple of 81438 and 81445?

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 81438 and 81445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81438 and 81445, than apply into the LCM equation.

GCF(81438,81445) = 7
LCM(81438,81445) = ( 81438 × 81445) / 7
LCM(81438,81445) = 6632717910 / 7
LCM(81438,81445) = 947531130

Least Common Multiple (LCM) of 81438 and 81445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81438 and 81445. First we will calculate the prime factors of 81438 and 81445.

Prime Factorization of 81438

Prime Factorization of 81445

Now multiplying the highest exponent prime factors to calculate the LCM of 81438 and 81445.

LCM(81438,81445) = 2¹ × 3¹ × 7² × 277¹ × 5¹ × 13¹ × 179¹
LCM(81438,81445) = 947531130