What is the Least Common Multiple of 97198 and 97205?

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 97198 and 97205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97198 and 97205, than apply into the LCM equation.

GCF(97198,97205) = 1
LCM(97198,97205) = ( 97198 × 97205) / 1
LCM(97198,97205) = 9448131590 / 1
LCM(97198,97205) = 9448131590

Least Common Multiple (LCM) of 97198 and 97205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97198 and 97205. First we will calculate the prime factors of 97198 and 97205.

Prime Factorization of 97198

Prime Factorization of 97205

Now multiplying the highest exponent prime factors to calculate the LCM of 97198 and 97205.

LCM(97198,97205) = 2¹ × 23¹ × 2113¹ × 5¹ × 19441¹
LCM(97198,97205) = 9448131590