What is the Least Common Multiple of 11840 and 11849?

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 11840 and 11849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11840 and 11849, than apply into the LCM equation.

GCF(11840,11849) = 1
LCM(11840,11849) = ( 11840 × 11849) / 1
LCM(11840,11849) = 140292160 / 1
LCM(11840,11849) = 140292160

Least Common Multiple (LCM) of 11840 and 11849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11840 and 11849. First we will calculate the prime factors of 11840 and 11849.

Prime Factorization of 11840

Prime Factorization of 11849

Now multiplying the highest exponent prime factors to calculate the LCM of 11840 and 11849.

LCM(11840,11849) = 2⁶ × 5¹ × 37¹ × 17² × 41¹
LCM(11840,11849) = 140292160