What is the Least Common Multiple of 7888 and 7902?

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 7888 and 7902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7888 and 7902, than apply into the LCM equation.

GCF(7888,7902) = 2
LCM(7888,7902) = ( 7888 × 7902) / 2
LCM(7888,7902) = 62330976 / 2
LCM(7888,7902) = 31165488

Least Common Multiple (LCM) of 7888 and 7902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7888 and 7902. First we will calculate the prime factors of 7888 and 7902.

Prime Factorization of 7888

Prime Factorization of 7902

Now multiplying the highest exponent prime factors to calculate the LCM of 7888 and 7902.

LCM(7888,7902) = 2⁴ × 17¹ × 29¹ × 3² × 439¹
LCM(7888,7902) = 31165488