What is the Least Common Multiple of 45824 and 45836?

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 45824 and 45836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45824 and 45836, than apply into the LCM equation.

GCF(45824,45836) = 4
LCM(45824,45836) = ( 45824 × 45836) / 4
LCM(45824,45836) = 2100388864 / 4
LCM(45824,45836) = 525097216

Least Common Multiple (LCM) of 45824 and 45836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45824 and 45836. First we will calculate the prime factors of 45824 and 45836.

Prime Factorization of 45824

Prime Factorization of 45836

Now multiplying the highest exponent prime factors to calculate the LCM of 45824 and 45836.

LCM(45824,45836) = 2⁸ × 179¹ × 7¹ × 1637¹
LCM(45824,45836) = 525097216