What is the Least Common Multiple of 3872 and 3880?

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 3872 and 3880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3872 and 3880, than apply into the LCM equation.

GCF(3872,3880) = 8
LCM(3872,3880) = ( 3872 × 3880) / 8
LCM(3872,3880) = 15023360 / 8
LCM(3872,3880) = 1877920

Least Common Multiple (LCM) of 3872 and 3880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3872 and 3880. First we will calculate the prime factors of 3872 and 3880.

Prime Factorization of 3872

Prime Factorization of 3880

Now multiplying the highest exponent prime factors to calculate the LCM of 3872 and 3880.

LCM(3872,3880) = 2⁵ × 11² × 5¹ × 97¹
LCM(3872,3880) = 1877920