What is the Least Common Multiple of 53328 and 53342?

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 53328 and 53342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53328 and 53342, than apply into the LCM equation.

GCF(53328,53342) = 2
LCM(53328,53342) = ( 53328 × 53342) / 2
LCM(53328,53342) = 2844622176 / 2
LCM(53328,53342) = 1422311088

Least Common Multiple (LCM) of 53328 and 53342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53328 and 53342. First we will calculate the prime factors of 53328 and 53342.

Prime Factorization of 53328

Prime Factorization of 53342

Now multiplying the highest exponent prime factors to calculate the LCM of 53328 and 53342.

LCM(53328,53342) = 2⁴ × 3¹ × 11¹ × 101¹ × 149¹ × 179¹
LCM(53328,53342) = 1422311088