What is the Least Common Multiple of 97185 and 97199?

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 97199 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 97199, than apply into the LCM equation.

GCF(97185,97199) = 1
LCM(97185,97199) = ( 97185 × 97199) / 1
LCM(97185,97199) = 9446284815 / 1
LCM(97185,97199) = 9446284815

Least Common Multiple (LCM) of 97185 and 97199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97185 and 97199. First we will calculate the prime factors of 97185 and 97199.

Prime Factorization of 97185

Prime Factorization of 97199

Now multiplying the highest exponent prime factors to calculate the LCM of 97185 and 97199.

LCM(97185,97199) = 3¹ × 5¹ × 11¹ × 19¹ × 31¹ × 37² × 71¹
LCM(97185,97199) = 9446284815