What is the Least Common Multiple of 15759 and 15777?

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 15759 and 15777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15759 and 15777, than apply into the LCM equation.

GCF(15759,15777) = 9
LCM(15759,15777) = ( 15759 × 15777) / 9
LCM(15759,15777) = 248629743 / 9
LCM(15759,15777) = 27625527

Least Common Multiple (LCM) of 15759 and 15777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15759 and 15777. First we will calculate the prime factors of 15759 and 15777.

Prime Factorization of 15759

Prime Factorization of 15777

Now multiplying the highest exponent prime factors to calculate the LCM of 15759 and 15777.

LCM(15759,15777) = 3² × 17¹ × 103¹ × 1753¹
LCM(15759,15777) = 27625527