What is the Least Common Multiple of 65224 and 65230?

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 65224 and 65230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65224 and 65230, than apply into the LCM equation.

GCF(65224,65230) = 2
LCM(65224,65230) = ( 65224 × 65230) / 2
LCM(65224,65230) = 4254561520 / 2
LCM(65224,65230) = 2127280760

Least Common Multiple (LCM) of 65224 and 65230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65224 and 65230. First we will calculate the prime factors of 65224 and 65230.

Prime Factorization of 65224

Prime Factorization of 65230

Now multiplying the highest exponent prime factors to calculate the LCM of 65224 and 65230.

LCM(65224,65230) = 2³ × 31¹ × 263¹ × 5¹ × 11¹ × 593¹
LCM(65224,65230) = 2127280760