What is the Least Common Multiple of 97231 and 97242?

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 97231 and 97242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97231 and 97242, than apply into the LCM equation.

GCF(97231,97242) = 1
LCM(97231,97242) = ( 97231 × 97242) / 1
LCM(97231,97242) = 9454936902 / 1
LCM(97231,97242) = 9454936902

Least Common Multiple (LCM) of 97231 and 97242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97231 and 97242. First we will calculate the prime factors of 97231 and 97242.

Prime Factorization of 97231

Prime Factorization of 97242

Now multiplying the highest exponent prime factors to calculate the LCM of 97231 and 97242.

LCM(97231,97242) = 97231¹ × 2¹ × 3¹ × 19¹ × 853¹
LCM(97231,97242) = 9454936902