What is the Least Common Multiple of 45528 and 45536?

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 45528 and 45536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45528 and 45536, than apply into the LCM equation.

GCF(45528,45536) = 8
LCM(45528,45536) = ( 45528 × 45536) / 8
LCM(45528,45536) = 2073163008 / 8
LCM(45528,45536) = 259145376

Least Common Multiple (LCM) of 45528 and 45536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45528 and 45536. First we will calculate the prime factors of 45528 and 45536.

Prime Factorization of 45528

Prime Factorization of 45536

Now multiplying the highest exponent prime factors to calculate the LCM of 45528 and 45536.

LCM(45528,45536) = 2⁵ × 3¹ × 7¹ × 271¹ × 1423¹
LCM(45528,45536) = 259145376