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What is the Least Common Multiple of 60223 and 60243?

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 (LCM) of 60223 and 60243 is 3628014189.

LCM(60223,60243) = 3628014189

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Least Common Multiple of 60223 and 60243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60223 and 60243, than apply into the LCM equation.

GCF(60223,60243) = 1
LCM(60223,60243) = ( 60223 × 60243) / 1
LCM(60223,60243) = 3628014189 / 1
LCM(60223,60243) = 3628014189

Least Common Multiple (LCM) of 60223 and 60243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60223 and 60243. First we will calculate the prime factors of 60223 and 60243.

Prime Factorization of 60223

Prime factors of 60223 are 60223. Prime factorization of 60223 in exponential form is:

60223 = 602231

Prime Factorization of 60243

Prime factors of 60243 are 3, 43, 467. Prime factorization of 60243 in exponential form is:

60243 = 31 × 431 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 60223 and 60243.

LCM(60223,60243) = 602231 × 31 × 431 × 4671
LCM(60223,60243) = 3628014189