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What is the Least Common Multiple of 47203 and 47212?

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 47203 and 47212 is 2228548036.

LCM(47203,47212) = 2228548036

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Least Common Multiple of 47203 and 47212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47203 and 47212, than apply into the LCM equation.

GCF(47203,47212) = 1
LCM(47203,47212) = ( 47203 × 47212) / 1
LCM(47203,47212) = 2228548036 / 1
LCM(47203,47212) = 2228548036

Least Common Multiple (LCM) of 47203 and 47212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47203 and 47212. First we will calculate the prime factors of 47203 and 47212.

Prime Factorization of 47203

Prime factors of 47203 are 13, 3631. Prime factorization of 47203 in exponential form is:

47203 = 131 × 36311

Prime Factorization of 47212

Prime factors of 47212 are 2, 11, 29, 37. Prime factorization of 47212 in exponential form is:

47212 = 22 × 111 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 47203 and 47212.

LCM(47203,47212) = 131 × 36311 × 22 × 111 × 291 × 371
LCM(47203,47212) = 2228548036