What is the Least Common Multiple of 97185 and 97204?

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 97185 and 97204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97185 and 97204, than apply into the LCM equation.

GCF(97185,97204) = 19
LCM(97185,97204) = ( 97185 × 97204) / 19
LCM(97185,97204) = 9446770740 / 19
LCM(97185,97204) = 497198460

Least Common Multiple (LCM) of 97185 and 97204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97185 and 97204. First we will calculate the prime factors of 97185 and 97204.

Prime Factorization of 97185

Prime Factorization of 97204

Now multiplying the highest exponent prime factors to calculate the LCM of 97185 and 97204.

LCM(97185,97204) = 3¹ × 5¹ × 11¹ × 19¹ × 31¹ × 2² × 1279¹
LCM(97185,97204) = 497198460