What is the Least Common Multiple of 97084 and 97099?

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 97084 and 97099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97084 and 97099, than apply into the LCM equation.

GCF(97084,97099) = 1
LCM(97084,97099) = ( 97084 × 97099) / 1
LCM(97084,97099) = 9426759316 / 1
LCM(97084,97099) = 9426759316

Least Common Multiple (LCM) of 97084 and 97099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97084 and 97099. First we will calculate the prime factors of 97084 and 97099.

Prime Factorization of 97084

Prime Factorization of 97099

Now multiplying the highest exponent prime factors to calculate the LCM of 97084 and 97099.

LCM(97084,97099) = 2² × 13¹ × 1867¹ × 89¹ × 1091¹
LCM(97084,97099) = 9426759316