What is the Least Common Multiple of 41580 and 41586?

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 41586 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 41586, than apply into the LCM equation.

GCF(41580,41586) = 6
LCM(41580,41586) = ( 41580 × 41586) / 6
LCM(41580,41586) = 1729145880 / 6
LCM(41580,41586) = 288190980

Least Common Multiple (LCM) of 41580 and 41586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41580 and 41586. First we will calculate the prime factors of 41580 and 41586.

Prime Factorization of 41580

Prime Factorization of 41586

Now multiplying the highest exponent prime factors to calculate the LCM of 41580 and 41586.

LCM(41580,41586) = 2² × 3³ × 5¹ × 7¹ × 11¹ × 29¹ × 239¹
LCM(41580,41586) = 288190980