What is the Least Common Multiple of 41580 and 41596?

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 41580 and 41596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41580 and 41596, than apply into the LCM equation.

GCF(41580,41596) = 4
LCM(41580,41596) = ( 41580 × 41596) / 4
LCM(41580,41596) = 1729561680 / 4
LCM(41580,41596) = 432390420

Least Common Multiple (LCM) of 41580 and 41596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41580 and 41596. First we will calculate the prime factors of 41580 and 41596.

Prime Factorization of 41580

Prime Factorization of 41596

Now multiplying the highest exponent prime factors to calculate the LCM of 41580 and 41596.

LCM(41580,41596) = 2² × 3³ × 5¹ × 7¹ × 11¹ × 10399¹
LCM(41580,41596) = 432390420