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What is the Least Common Multiple of 47134 and 47153?

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 47134 and 47153 is 2222509502.

LCM(47134,47153) = 2222509502

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Least Common Multiple of 47134 and 47153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47134 and 47153, than apply into the LCM equation.

GCF(47134,47153) = 1
LCM(47134,47153) = ( 47134 × 47153) / 1
LCM(47134,47153) = 2222509502 / 1
LCM(47134,47153) = 2222509502

Least Common Multiple (LCM) of 47134 and 47153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47134 and 47153. First we will calculate the prime factors of 47134 and 47153.

Prime Factorization of 47134

Prime factors of 47134 are 2, 23567. Prime factorization of 47134 in exponential form is:

47134 = 21 × 235671

Prime Factorization of 47153

Prime factors of 47153 are 61, 773. Prime factorization of 47153 in exponential form is:

47153 = 611 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 47134 and 47153.

LCM(47134,47153) = 21 × 235671 × 611 × 7731
LCM(47134,47153) = 2222509502