What is the Least Common Multiple of 7400 and 7407?

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 7400 and 7407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7400 and 7407, than apply into the LCM equation.

GCF(7400,7407) = 1
LCM(7400,7407) = ( 7400 × 7407) / 1
LCM(7400,7407) = 54811800 / 1
LCM(7400,7407) = 54811800

Least Common Multiple (LCM) of 7400 and 7407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7400 and 7407. First we will calculate the prime factors of 7400 and 7407.

Prime Factorization of 7400

Prime Factorization of 7407

Now multiplying the highest exponent prime factors to calculate the LCM of 7400 and 7407.

LCM(7400,7407) = 2³ × 5² × 37¹ × 3² × 823¹
LCM(7400,7407) = 54811800