What is the Least Common Multiple of 45576 and 45580?

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 45576 and 45580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45576 and 45580, than apply into the LCM equation.

GCF(45576,45580) = 4
LCM(45576,45580) = ( 45576 × 45580) / 4
LCM(45576,45580) = 2077354080 / 4
LCM(45576,45580) = 519338520

Least Common Multiple (LCM) of 45576 and 45580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45576 and 45580. First we will calculate the prime factors of 45576 and 45580.

Prime Factorization of 45576

Prime Factorization of 45580

Now multiplying the highest exponent prime factors to calculate the LCM of 45576 and 45580.

LCM(45576,45580) = 2³ × 3³ × 211¹ × 5¹ × 43¹ × 53¹
LCM(45576,45580) = 519338520