What is the Least Common Multiple of 36782 and 36787?

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 36782 and 36787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36782 and 36787, than apply into the LCM equation.

GCF(36782,36787) = 1
LCM(36782,36787) = ( 36782 × 36787) / 1
LCM(36782,36787) = 1353099434 / 1
LCM(36782,36787) = 1353099434

Least Common Multiple (LCM) of 36782 and 36787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36782 and 36787. First we will calculate the prime factors of 36782 and 36787.

Prime Factorization of 36782

Prime Factorization of 36787

Now multiplying the highest exponent prime factors to calculate the LCM of 36782 and 36787.

LCM(36782,36787) = 2¹ × 53¹ × 347¹ × 36787¹
LCM(36782,36787) = 1353099434