What is the Least Common Multiple of 98905 and 98911?

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 98905 and 98911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98905 and 98911, than apply into the LCM equation.

GCF(98905,98911) = 1
LCM(98905,98911) = ( 98905 × 98911) / 1
LCM(98905,98911) = 9782792455 / 1
LCM(98905,98911) = 9782792455

Least Common Multiple (LCM) of 98905 and 98911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98905 and 98911. First we will calculate the prime factors of 98905 and 98911.

Prime Factorization of 98905

Prime Factorization of 98911

Now multiplying the highest exponent prime factors to calculate the LCM of 98905 and 98911.

LCM(98905,98911) = 5¹ × 131¹ × 151¹ × 98911¹
LCM(98905,98911) = 9782792455