What is the Least Common Multiple of 48880 and 48894?

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 48880 and 48894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48880 and 48894, than apply into the LCM equation.

GCF(48880,48894) = 2
LCM(48880,48894) = ( 48880 × 48894) / 2
LCM(48880,48894) = 2389938720 / 2
LCM(48880,48894) = 1194969360

Least Common Multiple (LCM) of 48880 and 48894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48880 and 48894. First we will calculate the prime factors of 48880 and 48894.

Prime Factorization of 48880

Prime Factorization of 48894

Now multiplying the highest exponent prime factors to calculate the LCM of 48880 and 48894.

LCM(48880,48894) = 2⁴ × 5¹ × 13¹ × 47¹ × 3¹ × 29¹ × 281¹
LCM(48880,48894) = 1194969360