What is the Least Common Multiple of 5340 and 5352?

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 5340 and 5352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5340 and 5352, than apply into the LCM equation.

GCF(5340,5352) = 12
LCM(5340,5352) = ( 5340 × 5352) / 12
LCM(5340,5352) = 28579680 / 12
LCM(5340,5352) = 2381640

Least Common Multiple (LCM) of 5340 and 5352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5340 and 5352. First we will calculate the prime factors of 5340 and 5352.

Prime Factorization of 5340

Prime Factorization of 5352

Now multiplying the highest exponent prime factors to calculate the LCM of 5340 and 5352.

LCM(5340,5352) = 2³ × 3¹ × 5¹ × 89¹ × 223¹
LCM(5340,5352) = 2381640