What is the Least Common Multiple of 52390 and 52398?

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 52390 and 52398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52390 and 52398, than apply into the LCM equation.

GCF(52390,52398) = 2
LCM(52390,52398) = ( 52390 × 52398) / 2
LCM(52390,52398) = 2745131220 / 2
LCM(52390,52398) = 1372565610

Least Common Multiple (LCM) of 52390 and 52398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52390 and 52398. First we will calculate the prime factors of 52390 and 52398.

Prime Factorization of 52390

Prime Factorization of 52398

Now multiplying the highest exponent prime factors to calculate the LCM of 52390 and 52398.

LCM(52390,52398) = 2¹ × 5¹ × 13² × 31¹ × 3² × 41¹ × 71¹
LCM(52390,52398) = 1372565610