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What is the Least Common Multiple of 8421 and 8430?

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 8421 and 8430 is 23663010.

LCM(8421,8430) = 23663010

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Least Common Multiple of 8421 and 8430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8421 and 8430, than apply into the LCM equation.

GCF(8421,8430) = 3
LCM(8421,8430) = ( 8421 × 8430) / 3
LCM(8421,8430) = 70989030 / 3
LCM(8421,8430) = 23663010

Least Common Multiple (LCM) of 8421 and 8430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8421 and 8430. First we will calculate the prime factors of 8421 and 8430.

Prime Factorization of 8421

Prime factors of 8421 are 3, 7, 401. Prime factorization of 8421 in exponential form is:

8421 = 31 × 71 × 4011

Prime Factorization of 8430

Prime factors of 8430 are 2, 3, 5, 281. Prime factorization of 8430 in exponential form is:

8430 = 21 × 31 × 51 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 8421 and 8430.

LCM(8421,8430) = 31 × 71 × 4011 × 21 × 51 × 2811
LCM(8421,8430) = 23663010