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What is the Least Common Multiple of 30286 and 30295?

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 30286 and 30295 is 917514370.

LCM(30286,30295) = 917514370

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Least Common Multiple of 30286 and 30295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30286 and 30295, than apply into the LCM equation.

GCF(30286,30295) = 1
LCM(30286,30295) = ( 30286 × 30295) / 1
LCM(30286,30295) = 917514370 / 1
LCM(30286,30295) = 917514370

Least Common Multiple (LCM) of 30286 and 30295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30286 and 30295. First we will calculate the prime factors of 30286 and 30295.

Prime Factorization of 30286

Prime factors of 30286 are 2, 19, 797. Prime factorization of 30286 in exponential form is:

30286 = 21 × 191 × 7971

Prime Factorization of 30295

Prime factors of 30295 are 5, 73, 83. Prime factorization of 30295 in exponential form is:

30295 = 51 × 731 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 30286 and 30295.

LCM(30286,30295) = 21 × 191 × 7971 × 51 × 731 × 831
LCM(30286,30295) = 917514370