What is the Least Common Multiple of 35224 and 35228?

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 35224 and 35228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35224 and 35228, than apply into the LCM equation.

GCF(35224,35228) = 4
LCM(35224,35228) = ( 35224 × 35228) / 4
LCM(35224,35228) = 1240871072 / 4
LCM(35224,35228) = 310217768

Least Common Multiple (LCM) of 35224 and 35228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35224 and 35228. First we will calculate the prime factors of 35224 and 35228.

Prime Factorization of 35224

Prime Factorization of 35228

Now multiplying the highest exponent prime factors to calculate the LCM of 35224 and 35228.

LCM(35224,35228) = 2³ × 7¹ × 17¹ × 37¹ × 8807¹
LCM(35224,35228) = 310217768