What is the Least Common Multiple of 49280 and 49300?

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 49300 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 49300, than apply into the LCM equation.

GCF(49280,49300) = 20
LCM(49280,49300) = ( 49280 × 49300) / 20
LCM(49280,49300) = 2429504000 / 20
LCM(49280,49300) = 121475200

Least Common Multiple (LCM) of 49280 and 49300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49280 and 49300. First we will calculate the prime factors of 49280 and 49300.

Prime Factorization of 49280

Prime Factorization of 49300

Now multiplying the highest exponent prime factors to calculate the LCM of 49280 and 49300.

LCM(49280,49300) = 2⁷ × 5² × 7¹ × 11¹ × 17¹ × 29¹
LCM(49280,49300) = 121475200