What is the Least Common Multiple of 45835 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 45835 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 45835 and 45852, than apply into the LCM equation.

GCF(45835,45852) = 1
LCM(45835,45852) = ( 45835 × 45852) / 1
LCM(45835,45852) = 2101626420 / 1
LCM(45835,45852) = 2101626420

Least Common Multiple (LCM) of 45835 and 45852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45835 and 45852. First we will calculate the prime factors of 45835 and 45852.

Prime Factorization of 45835

Prime Factorization of 45852

Now multiplying the highest exponent prime factors to calculate the LCM of 45835 and 45852.

LCM(45835,45852) = 5¹ × 89¹ × 103¹ × 2² × 3¹ × 3821¹
LCM(45835,45852) = 2101626420