What is the Least Common Multiple of 98923 and 98940?

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 98940 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 98940, than apply into the LCM equation.

GCF(98923,98940) = 17
LCM(98923,98940) = ( 98923 × 98940) / 17
LCM(98923,98940) = 9787441620 / 17
LCM(98923,98940) = 575731860

Least Common Multiple (LCM) of 98923 and 98940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98923 and 98940. First we will calculate the prime factors of 98923 and 98940.

Prime Factorization of 98923

Prime Factorization of 98940

Now multiplying the highest exponent prime factors to calculate the LCM of 98923 and 98940.

LCM(98923,98940) = 11¹ × 17¹ × 23² × 2² × 3¹ × 5¹ × 97¹
LCM(98923,98940) = 575731860