What is the Least Common Multiple of 97810 and 97825?

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 97810 and 97825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97810 and 97825, than apply into the LCM equation.

GCF(97810,97825) = 5
LCM(97810,97825) = ( 97810 × 97825) / 5
LCM(97810,97825) = 9568263250 / 5
LCM(97810,97825) = 1913652650

Least Common Multiple (LCM) of 97810 and 97825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97810 and 97825. First we will calculate the prime factors of 97810 and 97825.

Prime Factorization of 97810

Prime Factorization of 97825

Now multiplying the highest exponent prime factors to calculate the LCM of 97810 and 97825.

LCM(97810,97825) = 2¹ × 5² × 9781¹ × 7¹ × 13¹ × 43¹
LCM(97810,97825) = 1913652650