What is the Least Common Multiple of 3920 and 3939?

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 3939 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 3939, than apply into the LCM equation.

GCF(3920,3939) = 1
LCM(3920,3939) = ( 3920 × 3939) / 1
LCM(3920,3939) = 15440880 / 1
LCM(3920,3939) = 15440880

Least Common Multiple (LCM) of 3920 and 3939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3920 and 3939. First we will calculate the prime factors of 3920 and 3939.

Prime Factorization of 3920

Prime Factorization of 3939

Now multiplying the highest exponent prime factors to calculate the LCM of 3920 and 3939.

LCM(3920,3939) = 2⁴ × 5¹ × 7² × 3¹ × 13¹ × 101¹
LCM(3920,3939) = 15440880