What is the Least Common Multiple of 11720 and 11738?

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 11720 and 11738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11720 and 11738, than apply into the LCM equation.

GCF(11720,11738) = 2
LCM(11720,11738) = ( 11720 × 11738) / 2
LCM(11720,11738) = 137569360 / 2
LCM(11720,11738) = 68784680

Least Common Multiple (LCM) of 11720 and 11738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11720 and 11738. First we will calculate the prime factors of 11720 and 11738.

Prime Factorization of 11720

Prime Factorization of 11738

Now multiplying the highest exponent prime factors to calculate the LCM of 11720 and 11738.

LCM(11720,11738) = 2³ × 5¹ × 293¹ × 5869¹
LCM(11720,11738) = 68784680