What is the Least Common Multiple of 11704 and 11723?

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 11704 and 11723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11704 and 11723, than apply into the LCM equation.

GCF(11704,11723) = 19
LCM(11704,11723) = ( 11704 × 11723) / 19
LCM(11704,11723) = 137205992 / 19
LCM(11704,11723) = 7221368

Least Common Multiple (LCM) of 11704 and 11723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11704 and 11723. First we will calculate the prime factors of 11704 and 11723.

Prime Factorization of 11704

Prime Factorization of 11723

Now multiplying the highest exponent prime factors to calculate the LCM of 11704 and 11723.

LCM(11704,11723) = 2³ × 7¹ × 11¹ × 19¹ × 617¹
LCM(11704,11723) = 7221368