What is the Least Common Multiple of 18945 and 18960?

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 18960 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 18960, than apply into the LCM equation.

GCF(18945,18960) = 15
LCM(18945,18960) = ( 18945 × 18960) / 15
LCM(18945,18960) = 359197200 / 15
LCM(18945,18960) = 23946480

Least Common Multiple (LCM) of 18945 and 18960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18945 and 18960. First we will calculate the prime factors of 18945 and 18960.

Prime Factorization of 18945

Prime Factorization of 18960

Now multiplying the highest exponent prime factors to calculate the LCM of 18945 and 18960.

LCM(18945,18960) = 3² × 5¹ × 421¹ × 2⁴ × 79¹
LCM(18945,18960) = 23946480