What is the Least Common Multiple of 81440 and 81458?

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 81440 and 81458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81440 and 81458, than apply into the LCM equation.

GCF(81440,81458) = 2
LCM(81440,81458) = ( 81440 × 81458) / 2
LCM(81440,81458) = 6633939520 / 2
LCM(81440,81458) = 3316969760

Least Common Multiple (LCM) of 81440 and 81458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81440 and 81458. First we will calculate the prime factors of 81440 and 81458.

Prime Factorization of 81440

Prime Factorization of 81458

Now multiplying the highest exponent prime factors to calculate the LCM of 81440 and 81458.

LCM(81440,81458) = 2⁵ × 5¹ × 509¹ × 13² × 241¹
LCM(81440,81458) = 3316969760