What is the Least Common Multiple of 37189 and 37198?

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 37189 and 37198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37189 and 37198, than apply into the LCM equation.

GCF(37189,37198) = 1
LCM(37189,37198) = ( 37189 × 37198) / 1
LCM(37189,37198) = 1383356422 / 1
LCM(37189,37198) = 1383356422

Least Common Multiple (LCM) of 37189 and 37198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37189 and 37198. First we will calculate the prime factors of 37189 and 37198.

Prime Factorization of 37189

Prime Factorization of 37198

Now multiplying the highest exponent prime factors to calculate the LCM of 37189 and 37198.

LCM(37189,37198) = 37189¹ × 2¹ × 7¹ × 2657¹
LCM(37189,37198) = 1383356422