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What is the Least Common Multiple of 60221 and 60232?

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 60221 and 60232 is 3627231272.

LCM(60221,60232) = 3627231272

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Least Common Multiple of 60221 and 60232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60221 and 60232, than apply into the LCM equation.

GCF(60221,60232) = 1
LCM(60221,60232) = ( 60221 × 60232) / 1
LCM(60221,60232) = 3627231272 / 1
LCM(60221,60232) = 3627231272

Least Common Multiple (LCM) of 60221 and 60232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60221 and 60232. First we will calculate the prime factors of 60221 and 60232.

Prime Factorization of 60221

Prime factors of 60221 are 7, 1229. Prime factorization of 60221 in exponential form is:

60221 = 72 × 12291

Prime Factorization of 60232

Prime factors of 60232 are 2, 7529. Prime factorization of 60232 in exponential form is:

60232 = 23 × 75291

Now multiplying the highest exponent prime factors to calculate the LCM of 60221 and 60232.

LCM(60221,60232) = 72 × 12291 × 23 × 75291
LCM(60221,60232) = 3627231272