What is the Least Common Multiple of 53361 and 53379?

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 53361 and 53379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53361 and 53379, than apply into the LCM equation.

GCF(53361,53379) = 9
LCM(53361,53379) = ( 53361 × 53379) / 9
LCM(53361,53379) = 2848356819 / 9
LCM(53361,53379) = 316484091

Least Common Multiple (LCM) of 53361 and 53379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53361 and 53379. First we will calculate the prime factors of 53361 and 53379.

Prime Factorization of 53361

Prime Factorization of 53379

Now multiplying the highest exponent prime factors to calculate the LCM of 53361 and 53379.

LCM(53361,53379) = 3⁴ × 7² × 11² × 659¹
LCM(53361,53379) = 316484091