What is the Least Common Multiple of 5310 and 5319?

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 5310 and 5319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5310 and 5319, than apply into the LCM equation.

GCF(5310,5319) = 9
LCM(5310,5319) = ( 5310 × 5319) / 9
LCM(5310,5319) = 28243890 / 9
LCM(5310,5319) = 3138210

Least Common Multiple (LCM) of 5310 and 5319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5310 and 5319. First we will calculate the prime factors of 5310 and 5319.

Prime Factorization of 5310

Prime Factorization of 5319

Now multiplying the highest exponent prime factors to calculate the LCM of 5310 and 5319.

LCM(5310,5319) = 2¹ × 3³ × 5¹ × 59¹ × 197¹
LCM(5310,5319) = 3138210