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What is the Least Common Multiple of 30190 and 30197?

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 30190 and 30197 is 911647430.

LCM(30190,30197) = 911647430

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Least Common Multiple of 30190 and 30197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30190 and 30197, than apply into the LCM equation.

GCF(30190,30197) = 1
LCM(30190,30197) = ( 30190 × 30197) / 1
LCM(30190,30197) = 911647430 / 1
LCM(30190,30197) = 911647430

Least Common Multiple (LCM) of 30190 and 30197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30190 and 30197. First we will calculate the prime factors of 30190 and 30197.

Prime Factorization of 30190

Prime factors of 30190 are 2, 5, 3019. Prime factorization of 30190 in exponential form is:

30190 = 21 × 51 × 30191

Prime Factorization of 30197

Prime factors of 30197 are 30197. Prime factorization of 30197 in exponential form is:

30197 = 301971

Now multiplying the highest exponent prime factors to calculate the LCM of 30190 and 30197.

LCM(30190,30197) = 21 × 51 × 30191 × 301971
LCM(30190,30197) = 911647430