GCF and LCM Calculator Logo

What is the Least Common Multiple of 15778 and 15787?

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 (LCM) of 15778 and 15787 is 249087286.

LCM(15778,15787) = 249087286

LCM Calculator and
and

Least Common Multiple of 15778 and 15787 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 15787, than apply into the LCM equation.

GCF(15778,15787) = 1
LCM(15778,15787) = ( 15778 × 15787) / 1
LCM(15778,15787) = 249087286 / 1
LCM(15778,15787) = 249087286

Least Common Multiple (LCM) of 15778 and 15787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15778 and 15787. First we will calculate the prime factors of 15778 and 15787.

Prime Factorization of 15778

Prime factors of 15778 are 2, 7, 23. Prime factorization of 15778 in exponential form is:

15778 = 21 × 73 × 231

Prime Factorization of 15787

Prime factors of 15787 are 15787. Prime factorization of 15787 in exponential form is:

15787 = 157871

Now multiplying the highest exponent prime factors to calculate the LCM of 15778 and 15787.

LCM(15778,15787) = 21 × 73 × 231 × 157871
LCM(15778,15787) = 249087286