What is the Least Common Multiple of 15778 and 15783?

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 15778 and 15783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15778 and 15783, than apply into the LCM equation.

GCF(15778,15783) = 1
LCM(15778,15783) = ( 15778 × 15783) / 1
LCM(15778,15783) = 249024174 / 1
LCM(15778,15783) = 249024174

Least Common Multiple (LCM) of 15778 and 15783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15778 and 15783. First we will calculate the prime factors of 15778 and 15783.

Prime Factorization of 15778

Prime Factorization of 15783

Now multiplying the highest exponent prime factors to calculate the LCM of 15778 and 15783.

LCM(15778,15783) = 2¹ × 7³ × 23¹ × 3¹ × 5261¹
LCM(15778,15783) = 249024174