What is the Least Common Multiple of 45285 and 45305?

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 45285 and 45305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45285 and 45305, than apply into the LCM equation.

GCF(45285,45305) = 5
LCM(45285,45305) = ( 45285 × 45305) / 5
LCM(45285,45305) = 2051636925 / 5
LCM(45285,45305) = 410327385

Least Common Multiple (LCM) of 45285 and 45305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45285 and 45305. First we will calculate the prime factors of 45285 and 45305.

Prime Factorization of 45285

Prime Factorization of 45305

Now multiplying the highest exponent prime factors to calculate the LCM of 45285 and 45305.

LCM(45285,45305) = 3¹ × 5¹ × 3019¹ × 13¹ × 17¹ × 41¹
LCM(45285,45305) = 410327385