What is the Least Common Multiple of 7224 and 7238?

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 7224 and 7238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7224 and 7238, than apply into the LCM equation.

GCF(7224,7238) = 14
LCM(7224,7238) = ( 7224 × 7238) / 14
LCM(7224,7238) = 52287312 / 14
LCM(7224,7238) = 3734808

Least Common Multiple (LCM) of 7224 and 7238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7224 and 7238. First we will calculate the prime factors of 7224 and 7238.

Prime Factorization of 7224

Prime Factorization of 7238

Now multiplying the highest exponent prime factors to calculate the LCM of 7224 and 7238.

LCM(7224,7238) = 2³ × 3¹ × 7¹ × 43¹ × 11¹ × 47¹
LCM(7224,7238) = 3734808