What is the Least Common Multiple of 45832 and 45852?

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 45832 and 45852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45832 and 45852, than apply into the LCM equation.

GCF(45832,45852) = 4
LCM(45832,45852) = ( 45832 × 45852) / 4
LCM(45832,45852) = 2101488864 / 4
LCM(45832,45852) = 525372216

Least Common Multiple (LCM) of 45832 and 45852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45832 and 45852. First we will calculate the prime factors of 45832 and 45852.

Prime Factorization of 45832

Prime Factorization of 45852

Now multiplying the highest exponent prime factors to calculate the LCM of 45832 and 45852.

LCM(45832,45852) = 2³ × 17¹ × 337¹ × 3¹ × 3821¹
LCM(45832,45852) = 525372216