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What is the Least Common Multiple of 30230 and 30250?

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 30230 and 30250 is 91445750.

LCM(30230,30250) = 91445750

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Least Common Multiple of 30230 and 30250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30230 and 30250, than apply into the LCM equation.

GCF(30230,30250) = 10
LCM(30230,30250) = ( 30230 × 30250) / 10
LCM(30230,30250) = 914457500 / 10
LCM(30230,30250) = 91445750

Least Common Multiple (LCM) of 30230 and 30250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30230 and 30250. First we will calculate the prime factors of 30230 and 30250.

Prime Factorization of 30230

Prime factors of 30230 are 2, 5, 3023. Prime factorization of 30230 in exponential form is:

30230 = 21 × 51 × 30231

Prime Factorization of 30250

Prime factors of 30250 are 2, 5, 11. Prime factorization of 30250 in exponential form is:

30250 = 21 × 53 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 30230 and 30250.

LCM(30230,30250) = 21 × 53 × 30231 × 112
LCM(30230,30250) = 91445750