What is the Least Common Multiple of 97782 and 97797?

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 97797 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 97797, than apply into the LCM equation.

GCF(97782,97797) = 3
LCM(97782,97797) = ( 97782 × 97797) / 3
LCM(97782,97797) = 9562786254 / 3
LCM(97782,97797) = 3187595418

Least Common Multiple (LCM) of 97782 and 97797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97782 and 97797. First we will calculate the prime factors of 97782 and 97797.

Prime Factorization of 97782

Prime Factorization of 97797

Now multiplying the highest exponent prime factors to calculate the LCM of 97782 and 97797.

LCM(97782,97797) = 2¹ × 3¹ × 43¹ × 379¹ × 7¹ × 4657¹
LCM(97782,97797) = 3187595418