What is the Least Common Multiple of 41578 and 41587?

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 41578 and 41587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41578 and 41587, than apply into the LCM equation.

GCF(41578,41587) = 1
LCM(41578,41587) = ( 41578 × 41587) / 1
LCM(41578,41587) = 1729104286 / 1
LCM(41578,41587) = 1729104286

Least Common Multiple (LCM) of 41578 and 41587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41578 and 41587. First we will calculate the prime factors of 41578 and 41587.

Prime Factorization of 41578

Prime Factorization of 41587

Now multiplying the highest exponent prime factors to calculate the LCM of 41578 and 41587.

LCM(41578,41587) = 2¹ × 20789¹ × 7¹ × 13¹ × 457¹
LCM(41578,41587) = 1729104286