What is the Least Common Multiple of 10449 and 10458?

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 10449 and 10458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10449 and 10458, than apply into the LCM equation.

GCF(10449,10458) = 9
LCM(10449,10458) = ( 10449 × 10458) / 9
LCM(10449,10458) = 109275642 / 9
LCM(10449,10458) = 12141738

Least Common Multiple (LCM) of 10449 and 10458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10449 and 10458. First we will calculate the prime factors of 10449 and 10458.

Prime Factorization of 10449

Prime Factorization of 10458

Now multiplying the highest exponent prime factors to calculate the LCM of 10449 and 10458.

LCM(10449,10458) = 3⁵ × 43¹ × 2¹ × 7¹ × 83¹
LCM(10449,10458) = 12141738