What is the Least Common Multiple of 97016 and 97034?

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 97016 and 97034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97016 and 97034, than apply into the LCM equation.

GCF(97016,97034) = 2
LCM(97016,97034) = ( 97016 × 97034) / 2
LCM(97016,97034) = 9413850544 / 2
LCM(97016,97034) = 4706925272

Least Common Multiple (LCM) of 97016 and 97034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97016 and 97034. First we will calculate the prime factors of 97016 and 97034.

Prime Factorization of 97016

Prime Factorization of 97034

Now multiplying the highest exponent prime factors to calculate the LCM of 97016 and 97034.

LCM(97016,97034) = 2³ × 67¹ × 181¹ × 7¹ × 29¹ × 239¹
LCM(97016,97034) = 4706925272