What is the Least Common Multiple of 36448 and 36465?

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 36448 and 36465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36448 and 36465, than apply into the LCM equation.

GCF(36448,36465) = 17
LCM(36448,36465) = ( 36448 × 36465) / 17
LCM(36448,36465) = 1329076320 / 17
LCM(36448,36465) = 78180960

Least Common Multiple (LCM) of 36448 and 36465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36448 and 36465. First we will calculate the prime factors of 36448 and 36465.

Prime Factorization of 36448

Prime Factorization of 36465

Now multiplying the highest exponent prime factors to calculate the LCM of 36448 and 36465.

LCM(36448,36465) = 2⁵ × 17¹ × 67¹ × 3¹ × 5¹ × 11¹ × 13¹
LCM(36448,36465) = 78180960