What is the Least Common Multiple of 11438 and 11457?

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 11438 and 11457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11438 and 11457, than apply into the LCM equation.

GCF(11438,11457) = 19
LCM(11438,11457) = ( 11438 × 11457) / 19
LCM(11438,11457) = 131045166 / 19
LCM(11438,11457) = 6897114

Least Common Multiple (LCM) of 11438 and 11457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11438 and 11457. First we will calculate the prime factors of 11438 and 11457.

Prime Factorization of 11438

Prime Factorization of 11457

Now multiplying the highest exponent prime factors to calculate the LCM of 11438 and 11457.

LCM(11438,11457) = 2¹ × 7¹ × 19¹ × 43¹ × 3² × 67¹
LCM(11438,11457) = 6897114