What is the Least Common Multiple of 9890 and 9910?

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 9890 and 9910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9890 and 9910, than apply into the LCM equation.

GCF(9890,9910) = 10
LCM(9890,9910) = ( 9890 × 9910) / 10
LCM(9890,9910) = 98009900 / 10
LCM(9890,9910) = 9800990

Least Common Multiple (LCM) of 9890 and 9910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9890 and 9910. First we will calculate the prime factors of 9890 and 9910.

Prime Factorization of 9890

Prime Factorization of 9910

Now multiplying the highest exponent prime factors to calculate the LCM of 9890 and 9910.

LCM(9890,9910) = 2¹ × 5¹ × 23¹ × 43¹ × 991¹
LCM(9890,9910) = 9800990