What is the Least Common Multiple of 48640 and 48659?

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 48640 and 48659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48640 and 48659, than apply into the LCM equation.

GCF(48640,48659) = 19
LCM(48640,48659) = ( 48640 × 48659) / 19
LCM(48640,48659) = 2366773760 / 19
LCM(48640,48659) = 124567040

Least Common Multiple (LCM) of 48640 and 48659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48640 and 48659. First we will calculate the prime factors of 48640 and 48659.

Prime Factorization of 48640

Prime Factorization of 48659

Now multiplying the highest exponent prime factors to calculate the LCM of 48640 and 48659.

LCM(48640,48659) = 2⁹ × 5¹ × 19¹ × 13¹ × 197¹
LCM(48640,48659) = 124567040