What is the Least Common Multiple of 7335 and 7344?

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 7335 and 7344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7335 and 7344, than apply into the LCM equation.

GCF(7335,7344) = 9
LCM(7335,7344) = ( 7335 × 7344) / 9
LCM(7335,7344) = 53868240 / 9
LCM(7335,7344) = 5985360

Least Common Multiple (LCM) of 7335 and 7344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7335 and 7344. First we will calculate the prime factors of 7335 and 7344.

Prime Factorization of 7335

Prime Factorization of 7344

Now multiplying the highest exponent prime factors to calculate the LCM of 7335 and 7344.

LCM(7335,7344) = 3³ × 5¹ × 163¹ × 2⁴ × 17¹
LCM(7335,7344) = 5985360