What is the Least Common Multiple of 97730 and 97745?

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 97730 and 97745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97730 and 97745, than apply into the LCM equation.

GCF(97730,97745) = 5
LCM(97730,97745) = ( 97730 × 97745) / 5
LCM(97730,97745) = 9552618850 / 5
LCM(97730,97745) = 1910523770

Least Common Multiple (LCM) of 97730 and 97745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97730 and 97745. First we will calculate the prime factors of 97730 and 97745.

Prime Factorization of 97730

Prime Factorization of 97745

Now multiplying the highest exponent prime factors to calculate the LCM of 97730 and 97745.

LCM(97730,97745) = 2¹ × 5¹ × 29¹ × 337¹ × 113¹ × 173¹
LCM(97730,97745) = 1910523770