What is the Least Common Multiple of 32448 and 32465?

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 32448 and 32465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32448 and 32465, than apply into the LCM equation.

GCF(32448,32465) = 1
LCM(32448,32465) = ( 32448 × 32465) / 1
LCM(32448,32465) = 1053424320 / 1
LCM(32448,32465) = 1053424320

Least Common Multiple (LCM) of 32448 and 32465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32448 and 32465. First we will calculate the prime factors of 32448 and 32465.

Prime Factorization of 32448

Prime Factorization of 32465

Now multiplying the highest exponent prime factors to calculate the LCM of 32448 and 32465.

LCM(32448,32465) = 2⁶ × 3¹ × 13² × 5¹ × 43¹ × 151¹
LCM(32448,32465) = 1053424320