What is the Least Common Multiple of 53840 and 53858?

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 53840 and 53858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53840 and 53858, than apply into the LCM equation.

GCF(53840,53858) = 2
LCM(53840,53858) = ( 53840 × 53858) / 2
LCM(53840,53858) = 2899714720 / 2
LCM(53840,53858) = 1449857360

Least Common Multiple (LCM) of 53840 and 53858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53840 and 53858. First we will calculate the prime factors of 53840 and 53858.

Prime Factorization of 53840

Prime Factorization of 53858

Now multiplying the highest exponent prime factors to calculate the LCM of 53840 and 53858.

LCM(53840,53858) = 2⁴ × 5¹ × 673¹ × 7¹ × 3847¹
LCM(53840,53858) = 1449857360