What is the Least Common Multiple of 3824 and 3835?

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 3824 and 3835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3824 and 3835, than apply into the LCM equation.

GCF(3824,3835) = 1
LCM(3824,3835) = ( 3824 × 3835) / 1
LCM(3824,3835) = 14665040 / 1
LCM(3824,3835) = 14665040

Least Common Multiple (LCM) of 3824 and 3835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3824 and 3835. First we will calculate the prime factors of 3824 and 3835.

Prime Factorization of 3824

Prime Factorization of 3835

Now multiplying the highest exponent prime factors to calculate the LCM of 3824 and 3835.

LCM(3824,3835) = 2⁴ × 239¹ × 5¹ × 13¹ × 59¹
LCM(3824,3835) = 14665040