What is the Least Common Multiple of 35294 and 35302?

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 35294 and 35302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35294 and 35302, than apply into the LCM equation.

GCF(35294,35302) = 2
LCM(35294,35302) = ( 35294 × 35302) / 2
LCM(35294,35302) = 1245948788 / 2
LCM(35294,35302) = 622974394

Least Common Multiple (LCM) of 35294 and 35302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35294 and 35302. First we will calculate the prime factors of 35294 and 35302.

Prime Factorization of 35294

Prime Factorization of 35302

Now multiplying the highest exponent prime factors to calculate the LCM of 35294 and 35302.

LCM(35294,35302) = 2¹ × 7¹ × 2521¹ × 19¹ × 929¹
LCM(35294,35302) = 622974394