What is the Least Common Multiple of 20398 and 20410?

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 20398 and 20410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20398 and 20410, than apply into the LCM equation.

GCF(20398,20410) = 2
LCM(20398,20410) = ( 20398 × 20410) / 2
LCM(20398,20410) = 416323180 / 2
LCM(20398,20410) = 208161590

Least Common Multiple (LCM) of 20398 and 20410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20398 and 20410. First we will calculate the prime factors of 20398 and 20410.

Prime Factorization of 20398

Prime Factorization of 20410

Now multiplying the highest exponent prime factors to calculate the LCM of 20398 and 20410.

LCM(20398,20410) = 2¹ × 7¹ × 31¹ × 47¹ × 5¹ × 13¹ × 157¹
LCM(20398,20410) = 208161590