What is the Least Common Multiple of 81464 and 81472?

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 81464 and 81472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81464 and 81472, than apply into the LCM equation.

GCF(81464,81472) = 8
LCM(81464,81472) = ( 81464 × 81472) / 8
LCM(81464,81472) = 6637035008 / 8
LCM(81464,81472) = 829629376

Least Common Multiple (LCM) of 81464 and 81472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81464 and 81472. First we will calculate the prime factors of 81464 and 81472.

Prime Factorization of 81464

Prime Factorization of 81472

Now multiplying the highest exponent prime factors to calculate the LCM of 81464 and 81472.

LCM(81464,81472) = 2⁶ × 17¹ × 599¹ × 19¹ × 67¹
LCM(81464,81472) = 829629376