What is the Least Common Multiple of 6270 and 6289?

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 6270 and 6289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6270 and 6289, than apply into the LCM equation.

GCF(6270,6289) = 19
LCM(6270,6289) = ( 6270 × 6289) / 19
LCM(6270,6289) = 39432030 / 19
LCM(6270,6289) = 2075370

Least Common Multiple (LCM) of 6270 and 6289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6270 and 6289. First we will calculate the prime factors of 6270 and 6289.

Prime Factorization of 6270

Prime Factorization of 6289

Now multiplying the highest exponent prime factors to calculate the LCM of 6270 and 6289.

LCM(6270,6289) = 2¹ × 3¹ × 5¹ × 11¹ × 19¹ × 331¹
LCM(6270,6289) = 2075370