What is the Least Common Multiple of 45909 and 45920?

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 45909 and 45920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45909 and 45920, than apply into the LCM equation.

GCF(45909,45920) = 1
LCM(45909,45920) = ( 45909 × 45920) / 1
LCM(45909,45920) = 2108141280 / 1
LCM(45909,45920) = 2108141280

Least Common Multiple (LCM) of 45909 and 45920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45909 and 45920. First we will calculate the prime factors of 45909 and 45920.

Prime Factorization of 45909

Prime Factorization of 45920

Now multiplying the highest exponent prime factors to calculate the LCM of 45909 and 45920.

LCM(45909,45920) = 3² × 5101¹ × 2⁵ × 5¹ × 7¹ × 41¹
LCM(45909,45920) = 2108141280