What is the Least Common Multiple of 20298 and 20305?

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 20298 and 20305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20298 and 20305, than apply into the LCM equation.

GCF(20298,20305) = 1
LCM(20298,20305) = ( 20298 × 20305) / 1
LCM(20298,20305) = 412150890 / 1
LCM(20298,20305) = 412150890

Least Common Multiple (LCM) of 20298 and 20305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20298 and 20305. First we will calculate the prime factors of 20298 and 20305.

Prime Factorization of 20298

Prime Factorization of 20305

Now multiplying the highest exponent prime factors to calculate the LCM of 20298 and 20305.

LCM(20298,20305) = 2¹ × 3¹ × 17¹ × 199¹ × 5¹ × 31¹ × 131¹
LCM(20298,20305) = 412150890