What is the Least Common Multiple of 97767 and 97781?

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 97767 and 97781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97767 and 97781, than apply into the LCM equation.

GCF(97767,97781) = 1
LCM(97767,97781) = ( 97767 × 97781) / 1
LCM(97767,97781) = 9559755027 / 1
LCM(97767,97781) = 9559755027

Least Common Multiple (LCM) of 97767 and 97781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97767 and 97781. First we will calculate the prime factors of 97767 and 97781.

Prime Factorization of 97767

Prime Factorization of 97781

Now multiplying the highest exponent prime factors to calculate the LCM of 97767 and 97781.

LCM(97767,97781) = 3⁴ × 17¹ × 71¹ × 277¹ × 353¹
LCM(97767,97781) = 9559755027