What is the Least Common Multiple of 5300 and 5310?

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 5310 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 5310, than apply into the LCM equation.

GCF(5300,5310) = 10
LCM(5300,5310) = ( 5300 × 5310) / 10
LCM(5300,5310) = 28143000 / 10
LCM(5300,5310) = 2814300

Least Common Multiple (LCM) of 5300 and 5310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5300 and 5310. First we will calculate the prime factors of 5300 and 5310.

Prime Factorization of 5300

Prime Factorization of 5310

Now multiplying the highest exponent prime factors to calculate the LCM of 5300 and 5310.

LCM(5300,5310) = 2² × 5² × 53¹ × 3² × 59¹
LCM(5300,5310) = 2814300