What is the Least Common Multiple of 49266 and 49280?

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 49266 and 49280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49266 and 49280, than apply into the LCM equation.

GCF(49266,49280) = 14
LCM(49266,49280) = ( 49266 × 49280) / 14
LCM(49266,49280) = 2427828480 / 14
LCM(49266,49280) = 173416320

Least Common Multiple (LCM) of 49266 and 49280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49266 and 49280. First we will calculate the prime factors of 49266 and 49280.

Prime Factorization of 49266

Prime Factorization of 49280

Now multiplying the highest exponent prime factors to calculate the LCM of 49266 and 49280.

LCM(49266,49280) = 2⁷ × 3² × 7¹ × 17¹ × 23¹ × 5¹ × 11¹
LCM(49266,49280) = 173416320