What is the Least Common Multiple of 18777 and 18787?

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 18777 and 18787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18777 and 18787, than apply into the LCM equation.

GCF(18777,18787) = 1
LCM(18777,18787) = ( 18777 × 18787) / 1
LCM(18777,18787) = 352763499 / 1
LCM(18777,18787) = 352763499

Least Common Multiple (LCM) of 18777 and 18787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18777 and 18787. First we will calculate the prime factors of 18777 and 18787.

Prime Factorization of 18777

Prime Factorization of 18787

Now multiplying the highest exponent prime factors to calculate the LCM of 18777 and 18787.

LCM(18777,18787) = 3¹ × 11¹ × 569¹ × 18787¹
LCM(18777,18787) = 352763499