What is the Least Common Multiple of 87928 and 87939?

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 87928 and 87939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87928 and 87939, than apply into the LCM equation.

GCF(87928,87939) = 1
LCM(87928,87939) = ( 87928 × 87939) / 1
LCM(87928,87939) = 7732300392 / 1
LCM(87928,87939) = 7732300392

Least Common Multiple (LCM) of 87928 and 87939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87928 and 87939. First we will calculate the prime factors of 87928 and 87939.

Prime Factorization of 87928

Prime Factorization of 87939

Now multiplying the highest exponent prime factors to calculate the LCM of 87928 and 87939.

LCM(87928,87939) = 2³ × 29¹ × 379¹ × 3³ × 3257¹
LCM(87928,87939) = 7732300392