What is the Least Common Multiple of 18928 and 18945?

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 18928 and 18945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18928 and 18945, than apply into the LCM equation.

GCF(18928,18945) = 1
LCM(18928,18945) = ( 18928 × 18945) / 1
LCM(18928,18945) = 358590960 / 1
LCM(18928,18945) = 358590960

Least Common Multiple (LCM) of 18928 and 18945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18928 and 18945. First we will calculate the prime factors of 18928 and 18945.

Prime Factorization of 18928

Prime Factorization of 18945

Now multiplying the highest exponent prime factors to calculate the LCM of 18928 and 18945.

LCM(18928,18945) = 2⁴ × 7¹ × 13² × 3² × 5¹ × 421¹
LCM(18928,18945) = 358590960