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What is the Least Common Multiple of 8424 and 8438?

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 8424 and 8438 is 35540856.

LCM(8424,8438) = 35540856

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Least Common Multiple of 8424 and 8438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8424 and 8438, than apply into the LCM equation.

GCF(8424,8438) = 2
LCM(8424,8438) = ( 8424 × 8438) / 2
LCM(8424,8438) = 71081712 / 2
LCM(8424,8438) = 35540856

Least Common Multiple (LCM) of 8424 and 8438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8424 and 8438. First we will calculate the prime factors of 8424 and 8438.

Prime Factorization of 8424

Prime factors of 8424 are 2, 3, 13. Prime factorization of 8424 in exponential form is:

8424 = 23 × 34 × 131

Prime Factorization of 8438

Prime factors of 8438 are 2, 4219. Prime factorization of 8438 in exponential form is:

8438 = 21 × 42191

Now multiplying the highest exponent prime factors to calculate the LCM of 8424 and 8438.

LCM(8424,8438) = 23 × 34 × 131 × 42191
LCM(8424,8438) = 35540856