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What is the Least Common Multiple of 29827 and 29847?

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 29827 and 29847 is 890246469.

LCM(29827,29847) = 890246469

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Least Common Multiple of 29827 and 29847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29827 and 29847, than apply into the LCM equation.

GCF(29827,29847) = 1
LCM(29827,29847) = ( 29827 × 29847) / 1
LCM(29827,29847) = 890246469 / 1
LCM(29827,29847) = 890246469

Least Common Multiple (LCM) of 29827 and 29847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29827 and 29847. First we will calculate the prime factors of 29827 and 29847.

Prime Factorization of 29827

Prime factors of 29827 are 7, 4261. Prime factorization of 29827 in exponential form is:

29827 = 71 × 42611

Prime Factorization of 29847

Prime factors of 29847 are 3, 9949. Prime factorization of 29847 in exponential form is:

29847 = 31 × 99491

Now multiplying the highest exponent prime factors to calculate the LCM of 29827 and 29847.

LCM(29827,29847) = 71 × 42611 × 31 × 99491
LCM(29827,29847) = 890246469