What is the Least Common Multiple of 3830 and 3848?

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 3830 and 3848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3830 and 3848, than apply into the LCM equation.

GCF(3830,3848) = 2
LCM(3830,3848) = ( 3830 × 3848) / 2
LCM(3830,3848) = 14737840 / 2
LCM(3830,3848) = 7368920

Least Common Multiple (LCM) of 3830 and 3848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3830 and 3848. First we will calculate the prime factors of 3830 and 3848.

Prime Factorization of 3830

Prime Factorization of 3848

Now multiplying the highest exponent prime factors to calculate the LCM of 3830 and 3848.

LCM(3830,3848) = 2³ × 5¹ × 383¹ × 13¹ × 37¹
LCM(3830,3848) = 7368920