What is the Least Common Multiple of 35204 and 35224?

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 35204 and 35224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35204 and 35224, than apply into the LCM equation.

GCF(35204,35224) = 4
LCM(35204,35224) = ( 35204 × 35224) / 4
LCM(35204,35224) = 1240025696 / 4
LCM(35204,35224) = 310006424

Least Common Multiple (LCM) of 35204 and 35224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35204 and 35224. First we will calculate the prime factors of 35204 and 35224.

Prime Factorization of 35204

Prime Factorization of 35224

Now multiplying the highest exponent prime factors to calculate the LCM of 35204 and 35224.

LCM(35204,35224) = 2³ × 13¹ × 677¹ × 7¹ × 17¹ × 37¹
LCM(35204,35224) = 310006424