What is the Least Common Multiple of 19198 and 19207?

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 19198 and 19207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19198 and 19207, than apply into the LCM equation.

GCF(19198,19207) = 1
LCM(19198,19207) = ( 19198 × 19207) / 1
LCM(19198,19207) = 368735986 / 1
LCM(19198,19207) = 368735986

Least Common Multiple (LCM) of 19198 and 19207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19198 and 19207. First we will calculate the prime factors of 19198 and 19207.

Prime Factorization of 19198

Prime Factorization of 19207

Now multiplying the highest exponent prime factors to calculate the LCM of 19198 and 19207.

LCM(19198,19207) = 2¹ × 29¹ × 331¹ × 19207¹
LCM(19198,19207) = 368735986