What is the Least Common Multiple of 95898 and 95905?

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 95898 and 95905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95898 and 95905, than apply into the LCM equation.

GCF(95898,95905) = 1
LCM(95898,95905) = ( 95898 × 95905) / 1
LCM(95898,95905) = 9197097690 / 1
LCM(95898,95905) = 9197097690

Least Common Multiple (LCM) of 95898 and 95905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95898 and 95905. First we will calculate the prime factors of 95898 and 95905.

Prime Factorization of 95898

Prime Factorization of 95905

Now multiplying the highest exponent prime factors to calculate the LCM of 95898 and 95905.

LCM(95898,95905) = 2¹ × 3¹ × 11¹ × 1453¹ × 5¹ × 19181¹
LCM(95898,95905) = 9197097690