What is the Least Common Multiple of 49280 and 49284?

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 49280 and 49284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49280 and 49284, than apply into the LCM equation.

GCF(49280,49284) = 4
LCM(49280,49284) = ( 49280 × 49284) / 4
LCM(49280,49284) = 2428715520 / 4
LCM(49280,49284) = 607178880

Least Common Multiple (LCM) of 49280 and 49284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49280 and 49284. First we will calculate the prime factors of 49280 and 49284.

Prime Factorization of 49280

Prime Factorization of 49284

Now multiplying the highest exponent prime factors to calculate the LCM of 49280 and 49284.

LCM(49280,49284) = 2⁷ × 5¹ × 7¹ × 11¹ × 3² × 37²
LCM(49280,49284) = 607178880