What is the Least Common Multiple of 5362 and 5377?

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 5362 and 5377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5362 and 5377, than apply into the LCM equation.

GCF(5362,5377) = 1
LCM(5362,5377) = ( 5362 × 5377) / 1
LCM(5362,5377) = 28831474 / 1
LCM(5362,5377) = 28831474

Least Common Multiple (LCM) of 5362 and 5377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5362 and 5377. First we will calculate the prime factors of 5362 and 5377.

Prime Factorization of 5362

Prime Factorization of 5377

Now multiplying the highest exponent prime factors to calculate the LCM of 5362 and 5377.

LCM(5362,5377) = 2¹ × 7¹ × 383¹ × 19¹ × 283¹
LCM(5362,5377) = 28831474