What is the Least Common Multiple of 45536 and 45546?

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 45536 and 45546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45536 and 45546, than apply into the LCM equation.

GCF(45536,45546) = 2
LCM(45536,45546) = ( 45536 × 45546) / 2
LCM(45536,45546) = 2073982656 / 2
LCM(45536,45546) = 1036991328

Least Common Multiple (LCM) of 45536 and 45546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45536 and 45546. First we will calculate the prime factors of 45536 and 45546.

Prime Factorization of 45536

Prime Factorization of 45546

Now multiplying the highest exponent prime factors to calculate the LCM of 45536 and 45546.

LCM(45536,45546) = 2⁵ × 1423¹ × 3¹ × 7591¹
LCM(45536,45546) = 1036991328