What is the Least Common Multiple of 11441 and 11458?

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 11441 and 11458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11441 and 11458, than apply into the LCM equation.

GCF(11441,11458) = 17
LCM(11441,11458) = ( 11441 × 11458) / 17
LCM(11441,11458) = 131090978 / 17
LCM(11441,11458) = 7711234

Least Common Multiple (LCM) of 11441 and 11458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11441 and 11458. First we will calculate the prime factors of 11441 and 11458.

Prime Factorization of 11441

Prime Factorization of 11458

Now multiplying the highest exponent prime factors to calculate the LCM of 11441 and 11458.

LCM(11441,11458) = 17¹ × 673¹ × 2¹ × 337¹
LCM(11441,11458) = 7711234