What is the Least Common Multiple of 48768 and 48785?

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 48768 and 48785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48768 and 48785, than apply into the LCM equation.

GCF(48768,48785) = 1
LCM(48768,48785) = ( 48768 × 48785) / 1
LCM(48768,48785) = 2379146880 / 1
LCM(48768,48785) = 2379146880

Least Common Multiple (LCM) of 48768 and 48785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48768 and 48785. First we will calculate the prime factors of 48768 and 48785.

Prime Factorization of 48768

Prime Factorization of 48785

Now multiplying the highest exponent prime factors to calculate the LCM of 48768 and 48785.

LCM(48768,48785) = 2⁷ × 3¹ × 127¹ × 5¹ × 11¹ × 887¹
LCM(48768,48785) = 2379146880