What is the Least Common Multiple of 5300 and 5315?

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 5300 and 5315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5300 and 5315, than apply into the LCM equation.

GCF(5300,5315) = 5
LCM(5300,5315) = ( 5300 × 5315) / 5
LCM(5300,5315) = 28169500 / 5
LCM(5300,5315) = 5633900

Least Common Multiple (LCM) of 5300 and 5315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5300 and 5315. First we will calculate the prime factors of 5300 and 5315.

Prime Factorization of 5300

Prime Factorization of 5315

Now multiplying the highest exponent prime factors to calculate the LCM of 5300 and 5315.

LCM(5300,5315) = 2² × 5² × 53¹ × 1063¹
LCM(5300,5315) = 5633900