What is the Least Common Multiple of 11746 and 11753?

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 11746 and 11753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11746 and 11753, than apply into the LCM equation.

GCF(11746,11753) = 7
LCM(11746,11753) = ( 11746 × 11753) / 7
LCM(11746,11753) = 138050738 / 7
LCM(11746,11753) = 19721534

Least Common Multiple (LCM) of 11746 and 11753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11746 and 11753. First we will calculate the prime factors of 11746 and 11753.

Prime Factorization of 11746

Prime Factorization of 11753

Now multiplying the highest exponent prime factors to calculate the LCM of 11746 and 11753.

LCM(11746,11753) = 2¹ × 7¹ × 839¹ × 23¹ × 73¹
LCM(11746,11753) = 19721534