What is the Least Common Multiple of 97783 and 97793?

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 97793 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 97793, than apply into the LCM equation.

GCF(97783,97793) = 1
LCM(97783,97793) = ( 97783 × 97793) / 1
LCM(97783,97793) = 9562492919 / 1
LCM(97783,97793) = 9562492919

Least Common Multiple (LCM) of 97783 and 97793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97783 and 97793. First we will calculate the prime factors of 97783 and 97793.

Prime Factorization of 97783

Prime Factorization of 97793

Now multiplying the highest exponent prime factors to calculate the LCM of 97783 and 97793.

LCM(97783,97793) = 7¹ × 61¹ × 229¹ × 19¹ × 5147¹
LCM(97783,97793) = 9562492919