What is the Least Common Multiple of 48456 and 48465?

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 48456 and 48465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48456 and 48465, than apply into the LCM equation.

GCF(48456,48465) = 9
LCM(48456,48465) = ( 48456 × 48465) / 9
LCM(48456,48465) = 2348420040 / 9
LCM(48456,48465) = 260935560

Least Common Multiple (LCM) of 48456 and 48465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48456 and 48465. First we will calculate the prime factors of 48456 and 48465.

Prime Factorization of 48456

Prime Factorization of 48465

Now multiplying the highest exponent prime factors to calculate the LCM of 48456 and 48465.

LCM(48456,48465) = 2³ × 3³ × 673¹ × 5¹ × 359¹
LCM(48456,48465) = 260935560