What is the Least Common Multiple of 3920 and 3935?

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 3920 and 3935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3920 and 3935, than apply into the LCM equation.

GCF(3920,3935) = 5
LCM(3920,3935) = ( 3920 × 3935) / 5
LCM(3920,3935) = 15425200 / 5
LCM(3920,3935) = 3085040

Least Common Multiple (LCM) of 3920 and 3935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3920 and 3935. First we will calculate the prime factors of 3920 and 3935.

Prime Factorization of 3920

Prime Factorization of 3935

Now multiplying the highest exponent prime factors to calculate the LCM of 3920 and 3935.

LCM(3920,3935) = 2⁴ × 5¹ × 7² × 787¹
LCM(3920,3935) = 3085040