What is the Least Common Multiple of 60224 and 60233?

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 60224 and 60233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60224 and 60233, than apply into the LCM equation.

GCF(60224,60233) = 1
LCM(60224,60233) = ( 60224 × 60233) / 1
LCM(60224,60233) = 3627472192 / 1
LCM(60224,60233) = 3627472192

Least Common Multiple (LCM) of 60224 and 60233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60224 and 60233. First we will calculate the prime factors of 60224 and 60233.

Prime Factorization of 60224

Prime Factorization of 60233

Now multiplying the highest exponent prime factors to calculate the LCM of 60224 and 60233.

LCM(60224,60233) = 2⁶ × 941¹ × 29¹ × 31¹ × 67¹
LCM(60224,60233) = 3627472192