What is the Least Common Multiple of 97180 and 97185?

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 97180 and 97185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97180 and 97185, than apply into the LCM equation.

GCF(97180,97185) = 5
LCM(97180,97185) = ( 97180 × 97185) / 5
LCM(97180,97185) = 9444438300 / 5
LCM(97180,97185) = 1888887660

Least Common Multiple (LCM) of 97180 and 97185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97180 and 97185. First we will calculate the prime factors of 97180 and 97185.

Prime Factorization of 97180

Prime Factorization of 97185

Now multiplying the highest exponent prime factors to calculate the LCM of 97180 and 97185.

LCM(97180,97185) = 2² × 5¹ × 43¹ × 113¹ × 3¹ × 11¹ × 19¹ × 31¹
LCM(97180,97185) = 1888887660