What is the Least Common Multiple of 48416 and 48427?

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 48416 and 48427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48416 and 48427, than apply into the LCM equation.

GCF(48416,48427) = 1
LCM(48416,48427) = ( 48416 × 48427) / 1
LCM(48416,48427) = 2344641632 / 1
LCM(48416,48427) = 2344641632

Least Common Multiple (LCM) of 48416 and 48427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48416 and 48427. First we will calculate the prime factors of 48416 and 48427.

Prime Factorization of 48416

Prime Factorization of 48427

Now multiplying the highest exponent prime factors to calculate the LCM of 48416 and 48427.

LCM(48416,48427) = 2⁵ × 17¹ × 89¹ × 79¹ × 613¹
LCM(48416,48427) = 2344641632