What is the Least Common Multiple of 7424 and 7438?

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 7424 and 7438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7424 and 7438, than apply into the LCM equation.

GCF(7424,7438) = 2
LCM(7424,7438) = ( 7424 × 7438) / 2
LCM(7424,7438) = 55219712 / 2
LCM(7424,7438) = 27609856

Least Common Multiple (LCM) of 7424 and 7438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7424 and 7438. First we will calculate the prime factors of 7424 and 7438.

Prime Factorization of 7424

Prime Factorization of 7438

Now multiplying the highest exponent prime factors to calculate the LCM of 7424 and 7438.

LCM(7424,7438) = 2⁸ × 29¹ × 3719¹
LCM(7424,7438) = 27609856