What is the Least Common Multiple of 10578 and 10598?

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 10578 and 10598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10578 and 10598, than apply into the LCM equation.

GCF(10578,10598) = 2
LCM(10578,10598) = ( 10578 × 10598) / 2
LCM(10578,10598) = 112105644 / 2
LCM(10578,10598) = 56052822

Least Common Multiple (LCM) of 10578 and 10598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10578 and 10598. First we will calculate the prime factors of 10578 and 10598.

Prime Factorization of 10578

Prime Factorization of 10598

Now multiplying the highest exponent prime factors to calculate the LCM of 10578 and 10598.

LCM(10578,10598) = 2¹ × 3¹ × 41¹ × 43¹ × 7¹ × 757¹
LCM(10578,10598) = 56052822