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What is the Least Common Multiple of 7396 and 7416?

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 7396 and 7416 is 13712184.

LCM(7396,7416) = 13712184

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Least Common Multiple of 7396 and 7416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7396 and 7416, than apply into the LCM equation.

GCF(7396,7416) = 4
LCM(7396,7416) = ( 7396 × 7416) / 4
LCM(7396,7416) = 54848736 / 4
LCM(7396,7416) = 13712184

Least Common Multiple (LCM) of 7396 and 7416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7396 and 7416. First we will calculate the prime factors of 7396 and 7416.

Prime Factorization of 7396

Prime factors of 7396 are 2, 43. Prime factorization of 7396 in exponential form is:

7396 = 22 × 432

Prime Factorization of 7416

Prime factors of 7416 are 2, 3, 103. Prime factorization of 7416 in exponential form is:

7416 = 23 × 32 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7396 and 7416.

LCM(7396,7416) = 23 × 432 × 32 × 1031
LCM(7396,7416) = 13712184