What is the Least Common Multiple of 10430 and 10441?

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 10430 and 10441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10430 and 10441, than apply into the LCM equation.

GCF(10430,10441) = 1
LCM(10430,10441) = ( 10430 × 10441) / 1
LCM(10430,10441) = 108899630 / 1
LCM(10430,10441) = 108899630

Least Common Multiple (LCM) of 10430 and 10441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10430 and 10441. First we will calculate the prime factors of 10430 and 10441.

Prime Factorization of 10430

Prime Factorization of 10441

Now multiplying the highest exponent prime factors to calculate the LCM of 10430 and 10441.

LCM(10430,10441) = 2¹ × 5¹ × 7¹ × 149¹ × 53¹ × 197¹
LCM(10430,10441) = 108899630