What is the Least Common Multiple of 45405 and 45422?

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 45405 and 45422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45405 and 45422, than apply into the LCM equation.

GCF(45405,45422) = 1
LCM(45405,45422) = ( 45405 × 45422) / 1
LCM(45405,45422) = 2062385910 / 1
LCM(45405,45422) = 2062385910

Least Common Multiple (LCM) of 45405 and 45422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45405 and 45422. First we will calculate the prime factors of 45405 and 45422.

Prime Factorization of 45405

Prime Factorization of 45422

Now multiplying the highest exponent prime factors to calculate the LCM of 45405 and 45422.

LCM(45405,45422) = 3² × 5¹ × 1009¹ × 2¹ × 13¹ × 1747¹
LCM(45405,45422) = 2062385910