What is the Least Common Multiple of 97175 and 97190?

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 97175 and 97190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97175 and 97190, than apply into the LCM equation.

GCF(97175,97190) = 5
LCM(97175,97190) = ( 97175 × 97190) / 5
LCM(97175,97190) = 9444438250 / 5
LCM(97175,97190) = 1888887650

Least Common Multiple (LCM) of 97175 and 97190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97175 and 97190. First we will calculate the prime factors of 97175 and 97190.

Prime Factorization of 97175

Prime Factorization of 97190

Now multiplying the highest exponent prime factors to calculate the LCM of 97175 and 97190.

LCM(97175,97190) = 5² × 13² × 23¹ × 2¹ × 9719¹
LCM(97175,97190) = 1888887650