What is the Least Common Multiple of 23890 and 23898?

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 23890 and 23898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23890 and 23898, than apply into the LCM equation.

GCF(23890,23898) = 2
LCM(23890,23898) = ( 23890 × 23898) / 2
LCM(23890,23898) = 570923220 / 2
LCM(23890,23898) = 285461610

Least Common Multiple (LCM) of 23890 and 23898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23890 and 23898. First we will calculate the prime factors of 23890 and 23898.

Prime Factorization of 23890

Prime Factorization of 23898

Now multiplying the highest exponent prime factors to calculate the LCM of 23890 and 23898.

LCM(23890,23898) = 2¹ × 5¹ × 2389¹ × 3¹ × 7¹ × 569¹
LCM(23890,23898) = 285461610