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What is the Least Common Multiple of 30217 and 30237?

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 30217 and 30237 is 913671429.

LCM(30217,30237) = 913671429

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Least Common Multiple of 30217 and 30237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30217 and 30237, than apply into the LCM equation.

GCF(30217,30237) = 1
LCM(30217,30237) = ( 30217 × 30237) / 1
LCM(30217,30237) = 913671429 / 1
LCM(30217,30237) = 913671429

Least Common Multiple (LCM) of 30217 and 30237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30217 and 30237. First we will calculate the prime factors of 30217 and 30237.

Prime Factorization of 30217

Prime factors of 30217 are 11, 41, 67. Prime factorization of 30217 in exponential form is:

30217 = 111 × 411 × 671

Prime Factorization of 30237

Prime factors of 30237 are 3, 10079. Prime factorization of 30237 in exponential form is:

30237 = 31 × 100791

Now multiplying the highest exponent prime factors to calculate the LCM of 30217 and 30237.

LCM(30217,30237) = 111 × 411 × 671 × 31 × 100791
LCM(30217,30237) = 913671429