What is the Least Common Multiple of 97782 and 97798?

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 97782 and 97798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97782 and 97798, than apply into the LCM equation.

GCF(97782,97798) = 2
LCM(97782,97798) = ( 97782 × 97798) / 2
LCM(97782,97798) = 9562884036 / 2
LCM(97782,97798) = 4781442018

Least Common Multiple (LCM) of 97782 and 97798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97782 and 97798. First we will calculate the prime factors of 97782 and 97798.

Prime Factorization of 97782

Prime Factorization of 97798

Now multiplying the highest exponent prime factors to calculate the LCM of 97782 and 97798.

LCM(97782,97798) = 2¹ × 3¹ × 43¹ × 379¹ × 107¹ × 457¹
LCM(97782,97798) = 4781442018