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What is the Least Common Multiple of 8412 and 8416?

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 8412 and 8416 is 17698848.

LCM(8412,8416) = 17698848

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Least Common Multiple of 8412 and 8416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8412 and 8416, than apply into the LCM equation.

GCF(8412,8416) = 4
LCM(8412,8416) = ( 8412 × 8416) / 4
LCM(8412,8416) = 70795392 / 4
LCM(8412,8416) = 17698848

Least Common Multiple (LCM) of 8412 and 8416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8412 and 8416. First we will calculate the prime factors of 8412 and 8416.

Prime Factorization of 8412

Prime factors of 8412 are 2, 3, 701. Prime factorization of 8412 in exponential form is:

8412 = 22 × 31 × 7011

Prime Factorization of 8416

Prime factors of 8416 are 2, 263. Prime factorization of 8416 in exponential form is:

8416 = 25 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 8412 and 8416.

LCM(8412,8416) = 25 × 31 × 7011 × 2631
LCM(8412,8416) = 17698848