What is the Least Common Multiple of 35279 and 35298?

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 35279 and 35298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35279 and 35298, than apply into the LCM equation.

GCF(35279,35298) = 1
LCM(35279,35298) = ( 35279 × 35298) / 1
LCM(35279,35298) = 1245278142 / 1
LCM(35279,35298) = 1245278142

Least Common Multiple (LCM) of 35279 and 35298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35279 and 35298. First we will calculate the prime factors of 35279 and 35298.

Prime Factorization of 35279

Prime Factorization of 35298

Now multiplying the highest exponent prime factors to calculate the LCM of 35279 and 35298.

LCM(35279,35298) = 35279¹ × 2¹ × 3² × 37¹ × 53¹
LCM(35279,35298) = 1245278142