What is the Least Common Multiple of 45840 and 45856?

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 45840 and 45856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45840 and 45856, than apply into the LCM equation.

GCF(45840,45856) = 16
LCM(45840,45856) = ( 45840 × 45856) / 16
LCM(45840,45856) = 2102039040 / 16
LCM(45840,45856) = 131377440

Least Common Multiple (LCM) of 45840 and 45856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45840 and 45856. First we will calculate the prime factors of 45840 and 45856.

Prime Factorization of 45840

Prime Factorization of 45856

Now multiplying the highest exponent prime factors to calculate the LCM of 45840 and 45856.

LCM(45840,45856) = 2⁵ × 3¹ × 5¹ × 191¹ × 1433¹
LCM(45840,45856) = 131377440