What is the Least Common Multiple of 45666 and 45680?

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 45666 and 45680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45666 and 45680, than apply into the LCM equation.

GCF(45666,45680) = 2
LCM(45666,45680) = ( 45666 × 45680) / 2
LCM(45666,45680) = 2086022880 / 2
LCM(45666,45680) = 1043011440

Least Common Multiple (LCM) of 45666 and 45680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45666 and 45680. First we will calculate the prime factors of 45666 and 45680.

Prime Factorization of 45666

Prime Factorization of 45680

Now multiplying the highest exponent prime factors to calculate the LCM of 45666 and 45680.

LCM(45666,45680) = 2⁴ × 3² × 43¹ × 59¹ × 5¹ × 571¹
LCM(45666,45680) = 1043011440