What is the Least Common Multiple of 18945 and 18963?

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 18945 and 18963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18945 and 18963, than apply into the LCM equation.

GCF(18945,18963) = 9
LCM(18945,18963) = ( 18945 × 18963) / 9
LCM(18945,18963) = 359254035 / 9
LCM(18945,18963) = 39917115

Least Common Multiple (LCM) of 18945 and 18963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18945 and 18963. First we will calculate the prime factors of 18945 and 18963.

Prime Factorization of 18945

Prime Factorization of 18963

Now multiplying the highest exponent prime factors to calculate the LCM of 18945 and 18963.

LCM(18945,18963) = 3² × 5¹ × 421¹ × 7² × 43¹
LCM(18945,18963) = 39917115