What is the Least Common Multiple of 7920 and 7939?

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 7920 and 7939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7920 and 7939, than apply into the LCM equation.

GCF(7920,7939) = 1
LCM(7920,7939) = ( 7920 × 7939) / 1
LCM(7920,7939) = 62876880 / 1
LCM(7920,7939) = 62876880

Least Common Multiple (LCM) of 7920 and 7939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7920 and 7939. First we will calculate the prime factors of 7920 and 7939.

Prime Factorization of 7920

Prime Factorization of 7939

Now multiplying the highest exponent prime factors to calculate the LCM of 7920 and 7939.

LCM(7920,7939) = 2⁴ × 3² × 5¹ × 11¹ × 17¹ × 467¹
LCM(7920,7939) = 62876880