What is the Least Common Multiple of 28935 and 28944?

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 28935 and 28944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28935 and 28944, than apply into the LCM equation.

GCF(28935,28944) = 9
LCM(28935,28944) = ( 28935 × 28944) / 9
LCM(28935,28944) = 837494640 / 9
LCM(28935,28944) = 93054960

Least Common Multiple (LCM) of 28935 and 28944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28935 and 28944. First we will calculate the prime factors of 28935 and 28944.

Prime Factorization of 28935

Prime Factorization of 28944

Now multiplying the highest exponent prime factors to calculate the LCM of 28935 and 28944.

LCM(28935,28944) = 3³ × 5¹ × 643¹ × 2⁴ × 67¹
LCM(28935,28944) = 93054960