What is the Least Common Multiple of 5346 and 5362?

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 5346 and 5362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5346 and 5362, than apply into the LCM equation.

GCF(5346,5362) = 2
LCM(5346,5362) = ( 5346 × 5362) / 2
LCM(5346,5362) = 28665252 / 2
LCM(5346,5362) = 14332626

Least Common Multiple (LCM) of 5346 and 5362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5346 and 5362. First we will calculate the prime factors of 5346 and 5362.

Prime Factorization of 5346

Prime Factorization of 5362

Now multiplying the highest exponent prime factors to calculate the LCM of 5346 and 5362.

LCM(5346,5362) = 2¹ × 3⁵ × 11¹ × 7¹ × 383¹
LCM(5346,5362) = 14332626