What is the Least Common Multiple of 5365 and 5380?

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 5365 and 5380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5365 and 5380, than apply into the LCM equation.

GCF(5365,5380) = 5
LCM(5365,5380) = ( 5365 × 5380) / 5
LCM(5365,5380) = 28863700 / 5
LCM(5365,5380) = 5772740

Least Common Multiple (LCM) of 5365 and 5380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5380. First we will calculate the prime factors of 5365 and 5380.

Prime Factorization of 5365

Prime Factorization of 5380

Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5380.

LCM(5365,5380) = 5¹ × 29¹ × 37¹ × 2² × 269¹
LCM(5365,5380) = 5772740