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What is the Least Common Multiple of 30295 and 30309?

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 30295 and 30309 is 918211155.

LCM(30295,30309) = 918211155

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Least Common Multiple of 30295 and 30309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30295 and 30309, than apply into the LCM equation.

GCF(30295,30309) = 1
LCM(30295,30309) = ( 30295 × 30309) / 1
LCM(30295,30309) = 918211155 / 1
LCM(30295,30309) = 918211155

Least Common Multiple (LCM) of 30295 and 30309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30295 and 30309. First we will calculate the prime factors of 30295 and 30309.

Prime Factorization of 30295

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

30295 = 51 × 731 × 831

Prime Factorization of 30309

Prime factors of 30309 are 3, 10103. Prime factorization of 30309 in exponential form is:

30309 = 31 × 101031

Now multiplying the highest exponent prime factors to calculate the LCM of 30295 and 30309.

LCM(30295,30309) = 51 × 731 × 831 × 31 × 101031
LCM(30295,30309) = 918211155