What is the Least Common Multiple of 75838 and 75848?

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 75838 and 75848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75838 and 75848, than apply into the LCM equation.

GCF(75838,75848) = 2
LCM(75838,75848) = ( 75838 × 75848) / 2
LCM(75838,75848) = 5752160624 / 2
LCM(75838,75848) = 2876080312

Least Common Multiple (LCM) of 75838 and 75848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75838 and 75848. First we will calculate the prime factors of 75838 and 75848.

Prime Factorization of 75838

Prime Factorization of 75848

Now multiplying the highest exponent prime factors to calculate the LCM of 75838 and 75848.

LCM(75838,75848) = 2³ × 7¹ × 5417¹ × 19¹ × 499¹
LCM(75838,75848) = 2876080312