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What is the Least Common Multiple of 30196 and 30211?

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 30196 and 30211 is 912251356.

LCM(30196,30211) = 912251356

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Least Common Multiple of 30196 and 30211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30196 and 30211, than apply into the LCM equation.

GCF(30196,30211) = 1
LCM(30196,30211) = ( 30196 × 30211) / 1
LCM(30196,30211) = 912251356 / 1
LCM(30196,30211) = 912251356

Least Common Multiple (LCM) of 30196 and 30211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30196 and 30211. First we will calculate the prime factors of 30196 and 30211.

Prime Factorization of 30196

Prime factors of 30196 are 2, 7549. Prime factorization of 30196 in exponential form is:

30196 = 22 × 75491

Prime Factorization of 30211

Prime factors of 30211 are 30211. Prime factorization of 30211 in exponential form is:

30211 = 302111

Now multiplying the highest exponent prime factors to calculate the LCM of 30196 and 30211.

LCM(30196,30211) = 22 × 75491 × 302111
LCM(30196,30211) = 912251356