What is the Least Common Multiple of 98923 and 98936?

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 98923 and 98936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98923 and 98936, than apply into the LCM equation.

GCF(98923,98936) = 1
LCM(98923,98936) = ( 98923 × 98936) / 1
LCM(98923,98936) = 9787045928 / 1
LCM(98923,98936) = 9787045928

Least Common Multiple (LCM) of 98923 and 98936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98923 and 98936. First we will calculate the prime factors of 98923 and 98936.

Prime Factorization of 98923

Prime Factorization of 98936

Now multiplying the highest exponent prime factors to calculate the LCM of 98923 and 98936.

LCM(98923,98936) = 11¹ × 17¹ × 23² × 2³ × 83¹ × 149¹
LCM(98923,98936) = 9787045928