What is the Least Common Multiple of 97430 and 97450?

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 97430 and 97450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97430 and 97450, than apply into the LCM equation.

GCF(97430,97450) = 10
LCM(97430,97450) = ( 97430 × 97450) / 10
LCM(97430,97450) = 9494553500 / 10
LCM(97430,97450) = 949455350

Least Common Multiple (LCM) of 97430 and 97450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97430 and 97450. First we will calculate the prime factors of 97430 and 97450.

Prime Factorization of 97430

Prime Factorization of 97450

Now multiplying the highest exponent prime factors to calculate the LCM of 97430 and 97450.

LCM(97430,97450) = 2¹ × 5² × 9743¹ × 1949¹
LCM(97430,97450) = 949455350