What is the Least Common Multiple of 98890 and 98909?

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 98890 and 98909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98890 and 98909, than apply into the LCM equation.

GCF(98890,98909) = 1
LCM(98890,98909) = ( 98890 × 98909) / 1
LCM(98890,98909) = 9781111010 / 1
LCM(98890,98909) = 9781111010

Least Common Multiple (LCM) of 98890 and 98909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98890 and 98909. First we will calculate the prime factors of 98890 and 98909.

Prime Factorization of 98890

Prime Factorization of 98909

Now multiplying the highest exponent prime factors to calculate the LCM of 98890 and 98909.

LCM(98890,98909) = 2¹ × 5¹ × 11¹ × 29¹ × 31¹ × 98909¹
LCM(98890,98909) = 9781111010