What is the Least Common Multiple of 45770 and 45789?

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 45770 and 45789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45770 and 45789, than apply into the LCM equation.

GCF(45770,45789) = 1
LCM(45770,45789) = ( 45770 × 45789) / 1
LCM(45770,45789) = 2095762530 / 1
LCM(45770,45789) = 2095762530

Least Common Multiple (LCM) of 45770 and 45789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45770 and 45789. First we will calculate the prime factors of 45770 and 45789.

Prime Factorization of 45770

Prime Factorization of 45789

Now multiplying the highest exponent prime factors to calculate the LCM of 45770 and 45789.

LCM(45770,45789) = 2¹ × 5¹ × 23¹ × 199¹ × 3¹ × 15263¹
LCM(45770,45789) = 2095762530