What is the Least Common Multiple of 7224 and 7241?

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 7241 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 7241, than apply into the LCM equation.

GCF(7224,7241) = 1
LCM(7224,7241) = ( 7224 × 7241) / 1
LCM(7224,7241) = 52308984 / 1
LCM(7224,7241) = 52308984

Least Common Multiple (LCM) of 7224 and 7241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7224 and 7241. First we will calculate the prime factors of 7224 and 7241.

Prime Factorization of 7224

Prime Factorization of 7241

Now multiplying the highest exponent prime factors to calculate the LCM of 7224 and 7241.

LCM(7224,7241) = 2³ × 3¹ × 7¹ × 43¹ × 13¹ × 557¹
LCM(7224,7241) = 52308984