What is the Least Common Multiple of 35268 and 35280?

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 35268 and 35280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35268 and 35280, than apply into the LCM equation.

GCF(35268,35280) = 12
LCM(35268,35280) = ( 35268 × 35280) / 12
LCM(35268,35280) = 1244255040 / 12
LCM(35268,35280) = 103687920

Least Common Multiple (LCM) of 35268 and 35280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35268 and 35280. First we will calculate the prime factors of 35268 and 35280.

Prime Factorization of 35268

Prime Factorization of 35280

Now multiplying the highest exponent prime factors to calculate the LCM of 35268 and 35280.

LCM(35268,35280) = 2⁴ × 3² × 2939¹ × 5¹ × 7²
LCM(35268,35280) = 103687920