What is the Least Common Multiple of 97174 and 97184?

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 97174 and 97184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97174 and 97184, than apply into the LCM equation.

GCF(97174,97184) = 2
LCM(97174,97184) = ( 97174 × 97184) / 2
LCM(97174,97184) = 9443758016 / 2
LCM(97174,97184) = 4721879008

Least Common Multiple (LCM) of 97174 and 97184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97174 and 97184. First we will calculate the prime factors of 97174 and 97184.

Prime Factorization of 97174

Prime Factorization of 97184

Now multiplying the highest exponent prime factors to calculate the LCM of 97174 and 97184.

LCM(97174,97184) = 2⁵ × 7¹ × 11¹ × 631¹ × 3037¹
LCM(97174,97184) = 4721879008