What is the Least Common Multiple of 29580 and 29587?

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 29580 and 29587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29580 and 29587, than apply into the LCM equation.

GCF(29580,29587) = 1
LCM(29580,29587) = ( 29580 × 29587) / 1
LCM(29580,29587) = 875183460 / 1
LCM(29580,29587) = 875183460

Least Common Multiple (LCM) of 29580 and 29587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29580 and 29587. First we will calculate the prime factors of 29580 and 29587.

Prime Factorization of 29580

Prime Factorization of 29587

Now multiplying the highest exponent prime factors to calculate the LCM of 29580 and 29587.

LCM(29580,29587) = 2² × 3¹ × 5¹ × 17¹ × 29¹ × 29587¹
LCM(29580,29587) = 875183460