What is the Least Common Multiple of 5270 and 5290?

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 5270 and 5290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5270 and 5290, than apply into the LCM equation.

GCF(5270,5290) = 10
LCM(5270,5290) = ( 5270 × 5290) / 10
LCM(5270,5290) = 27878300 / 10
LCM(5270,5290) = 2787830

Least Common Multiple (LCM) of 5270 and 5290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5270 and 5290. First we will calculate the prime factors of 5270 and 5290.

Prime Factorization of 5270

Prime Factorization of 5290

Now multiplying the highest exponent prime factors to calculate the LCM of 5270 and 5290.

LCM(5270,5290) = 2¹ × 5¹ × 17¹ × 31¹ × 23²
LCM(5270,5290) = 2787830