What is the Least Common Multiple of 71898 and 71908?

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 71898 and 71908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71898 and 71908, than apply into the LCM equation.

GCF(71898,71908) = 2
LCM(71898,71908) = ( 71898 × 71908) / 2
LCM(71898,71908) = 5170041384 / 2
LCM(71898,71908) = 2585020692

Least Common Multiple (LCM) of 71898 and 71908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71898 and 71908. First we will calculate the prime factors of 71898 and 71908.

Prime Factorization of 71898

Prime Factorization of 71908

Now multiplying the highest exponent prime factors to calculate the LCM of 71898 and 71908.

LCM(71898,71908) = 2² × 3¹ × 23¹ × 521¹ × 17977¹
LCM(71898,71908) = 2585020692