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What is the Least Common Multiple of 30186 and 30203?

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 30186 and 30203 is 911707758.

LCM(30186,30203) = 911707758

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Least Common Multiple of 30186 and 30203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30186 and 30203, than apply into the LCM equation.

GCF(30186,30203) = 1
LCM(30186,30203) = ( 30186 × 30203) / 1
LCM(30186,30203) = 911707758 / 1
LCM(30186,30203) = 911707758

Least Common Multiple (LCM) of 30186 and 30203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30186 and 30203. First we will calculate the prime factors of 30186 and 30203.

Prime Factorization of 30186

Prime factors of 30186 are 2, 3, 13, 43. Prime factorization of 30186 in exponential form is:

30186 = 21 × 33 × 131 × 431

Prime Factorization of 30203

Prime factors of 30203 are 30203. Prime factorization of 30203 in exponential form is:

30203 = 302031

Now multiplying the highest exponent prime factors to calculate the LCM of 30186 and 30203.

LCM(30186,30203) = 21 × 33 × 131 × 431 × 302031
LCM(30186,30203) = 911707758