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What is the Least Common Multiple of 30210 and 30221?

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 30210 and 30221 is 912976410.

LCM(30210,30221) = 912976410

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Least Common Multiple of 30210 and 30221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30210 and 30221, than apply into the LCM equation.

GCF(30210,30221) = 1
LCM(30210,30221) = ( 30210 × 30221) / 1
LCM(30210,30221) = 912976410 / 1
LCM(30210,30221) = 912976410

Least Common Multiple (LCM) of 30210 and 30221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30210 and 30221. First we will calculate the prime factors of 30210 and 30221.

Prime Factorization of 30210

Prime factors of 30210 are 2, 3, 5, 19, 53. Prime factorization of 30210 in exponential form is:

30210 = 21 × 31 × 51 × 191 × 531

Prime Factorization of 30221

Prime factors of 30221 are 47, 643. Prime factorization of 30221 in exponential form is:

30221 = 471 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 30210 and 30221.

LCM(30210,30221) = 21 × 31 × 51 × 191 × 531 × 471 × 6431
LCM(30210,30221) = 912976410