What is the Least Common Multiple of 7902 and 7922?

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 7902 and 7922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7902 and 7922, than apply into the LCM equation.

GCF(7902,7922) = 2
LCM(7902,7922) = ( 7902 × 7922) / 2
LCM(7902,7922) = 62599644 / 2
LCM(7902,7922) = 31299822

Least Common Multiple (LCM) of 7902 and 7922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7902 and 7922. First we will calculate the prime factors of 7902 and 7922.

Prime Factorization of 7902

Prime Factorization of 7922

Now multiplying the highest exponent prime factors to calculate the LCM of 7902 and 7922.

LCM(7902,7922) = 2¹ × 3² × 439¹ × 17¹ × 233¹
LCM(7902,7922) = 31299822