What is the Least Common Multiple of 97783 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 97783 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 97783 and 97798, than apply into the LCM equation.

GCF(97783,97798) = 1
LCM(97783,97798) = ( 97783 × 97798) / 1
LCM(97783,97798) = 9562981834 / 1
LCM(97783,97798) = 9562981834

Least Common Multiple (LCM) of 97783 and 97798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97783 and 97798. First we will calculate the prime factors of 97783 and 97798.

Prime Factorization of 97783

Prime Factorization of 97798

Now multiplying the highest exponent prime factors to calculate the LCM of 97783 and 97798.

LCM(97783,97798) = 7¹ × 61¹ × 229¹ × 2¹ × 107¹ × 457¹
LCM(97783,97798) = 9562981834