What is the Least Common Multiple of 97174 and 97180?

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 97180 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 97180, than apply into the LCM equation.

GCF(97174,97180) = 2
LCM(97174,97180) = ( 97174 × 97180) / 2
LCM(97174,97180) = 9443369320 / 2
LCM(97174,97180) = 4721684660

Least Common Multiple (LCM) of 97174 and 97180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97174 and 97180. First we will calculate the prime factors of 97174 and 97180.

Prime Factorization of 97174

Prime Factorization of 97180

Now multiplying the highest exponent prime factors to calculate the LCM of 97174 and 97180.

LCM(97174,97180) = 2² × 7¹ × 11¹ × 631¹ × 5¹ × 43¹ × 113¹
LCM(97174,97180) = 4721684660