What is the Least Common Multiple of 35194 and 35201?

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 35194 and 35201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35194 and 35201, than apply into the LCM equation.

GCF(35194,35201) = 1
LCM(35194,35201) = ( 35194 × 35201) / 1
LCM(35194,35201) = 1238863994 / 1
LCM(35194,35201) = 1238863994

Least Common Multiple (LCM) of 35194 and 35201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35194 and 35201. First we will calculate the prime factors of 35194 and 35201.

Prime Factorization of 35194

Prime Factorization of 35201

Now multiplying the highest exponent prime factors to calculate the LCM of 35194 and 35201.

LCM(35194,35201) = 2¹ × 17597¹ × 35201¹
LCM(35194,35201) = 1238863994