What is the Least Common Multiple of 53312 and 53330?

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 53312 and 53330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53312 and 53330, than apply into the LCM equation.

GCF(53312,53330) = 2
LCM(53312,53330) = ( 53312 × 53330) / 2
LCM(53312,53330) = 2843128960 / 2
LCM(53312,53330) = 1421564480

Least Common Multiple (LCM) of 53312 and 53330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53312 and 53330. First we will calculate the prime factors of 53312 and 53330.

Prime Factorization of 53312

Prime Factorization of 53330

Now multiplying the highest exponent prime factors to calculate the LCM of 53312 and 53330.

LCM(53312,53330) = 2⁶ × 7² × 17¹ × 5¹ × 5333¹
LCM(53312,53330) = 1421564480