What is the Least Common Multiple of 47890 and 47898?

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 47890 and 47898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47890 and 47898, than apply into the LCM equation.

GCF(47890,47898) = 2
LCM(47890,47898) = ( 47890 × 47898) / 2
LCM(47890,47898) = 2293835220 / 2
LCM(47890,47898) = 1146917610

Least Common Multiple (LCM) of 47890 and 47898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47890 and 47898. First we will calculate the prime factors of 47890 and 47898.

Prime Factorization of 47890

Prime Factorization of 47898

Now multiplying the highest exponent prime factors to calculate the LCM of 47890 and 47898.

LCM(47890,47898) = 2¹ × 5¹ × 4789¹ × 3³ × 887¹
LCM(47890,47898) = 1146917610