What is the Least Common Multiple of 7890 and 7908?

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 7890 and 7908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7890 and 7908, than apply into the LCM equation.

GCF(7890,7908) = 6
LCM(7890,7908) = ( 7890 × 7908) / 6
LCM(7890,7908) = 62394120 / 6
LCM(7890,7908) = 10399020

Least Common Multiple (LCM) of 7890 and 7908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7890 and 7908. First we will calculate the prime factors of 7890 and 7908.

Prime Factorization of 7890

Prime Factorization of 7908

Now multiplying the highest exponent prime factors to calculate the LCM of 7890 and 7908.

LCM(7890,7908) = 2² × 3¹ × 5¹ × 263¹ × 659¹
LCM(7890,7908) = 10399020