What is the Least Common Multiple of 7900 and 7905?

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 7900 and 7905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7900 and 7905, than apply into the LCM equation.

GCF(7900,7905) = 5
LCM(7900,7905) = ( 7900 × 7905) / 5
LCM(7900,7905) = 62449500 / 5
LCM(7900,7905) = 12489900

Least Common Multiple (LCM) of 7900 and 7905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7900 and 7905. First we will calculate the prime factors of 7900 and 7905.

Prime Factorization of 7900

Prime Factorization of 7905

Now multiplying the highest exponent prime factors to calculate the LCM of 7900 and 7905.

LCM(7900,7905) = 2² × 5² × 79¹ × 3¹ × 17¹ × 31¹
LCM(7900,7905) = 12489900