What is the Least Common Multiple of 11420 and 11426?

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 11420 and 11426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11420 and 11426, than apply into the LCM equation.

GCF(11420,11426) = 2
LCM(11420,11426) = ( 11420 × 11426) / 2
LCM(11420,11426) = 130484920 / 2
LCM(11420,11426) = 65242460

Least Common Multiple (LCM) of 11420 and 11426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11420 and 11426. First we will calculate the prime factors of 11420 and 11426.

Prime Factorization of 11420

Prime Factorization of 11426

Now multiplying the highest exponent prime factors to calculate the LCM of 11420 and 11426.

LCM(11420,11426) = 2² × 5¹ × 571¹ × 29¹ × 197¹
LCM(11420,11426) = 65242460