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What is the Least Common Multiple of 30086 and 30105?

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 30086 and 30105 is 905739030.

LCM(30086,30105) = 905739030

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Least Common Multiple of 30086 and 30105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30086 and 30105, than apply into the LCM equation.

GCF(30086,30105) = 1
LCM(30086,30105) = ( 30086 × 30105) / 1
LCM(30086,30105) = 905739030 / 1
LCM(30086,30105) = 905739030

Least Common Multiple (LCM) of 30086 and 30105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30086 and 30105. First we will calculate the prime factors of 30086 and 30105.

Prime Factorization of 30086

Prime factors of 30086 are 2, 7, 307. Prime factorization of 30086 in exponential form is:

30086 = 21 × 72 × 3071

Prime Factorization of 30105

Prime factors of 30105 are 3, 5, 223. Prime factorization of 30105 in exponential form is:

30105 = 33 × 51 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 30086 and 30105.

LCM(30086,30105) = 21 × 72 × 3071 × 33 × 51 × 2231
LCM(30086,30105) = 905739030