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What is the Least Common Multiple of 60233 and 60250?

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 60233 and 60250 is 3629038250.

LCM(60233,60250) = 3629038250

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Least Common Multiple of 60233 and 60250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60233 and 60250, than apply into the LCM equation.

GCF(60233,60250) = 1
LCM(60233,60250) = ( 60233 × 60250) / 1
LCM(60233,60250) = 3629038250 / 1
LCM(60233,60250) = 3629038250

Least Common Multiple (LCM) of 60233 and 60250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60233 and 60250. First we will calculate the prime factors of 60233 and 60250.

Prime Factorization of 60233

Prime factors of 60233 are 29, 31, 67. Prime factorization of 60233 in exponential form is:

60233 = 291 × 311 × 671

Prime Factorization of 60250

Prime factors of 60250 are 2, 5, 241. Prime factorization of 60250 in exponential form is:

60250 = 21 × 53 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 60233 and 60250.

LCM(60233,60250) = 291 × 311 × 671 × 21 × 53 × 2411
LCM(60233,60250) = 3629038250