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What is the Least Common Multiple of 7364 and 7376?

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 7364 and 7376 is 13579216.

LCM(7364,7376) = 13579216

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Least Common Multiple of 7364 and 7376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7364 and 7376, than apply into the LCM equation.

GCF(7364,7376) = 4
LCM(7364,7376) = ( 7364 × 7376) / 4
LCM(7364,7376) = 54316864 / 4
LCM(7364,7376) = 13579216

Least Common Multiple (LCM) of 7364 and 7376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7364 and 7376. First we will calculate the prime factors of 7364 and 7376.

Prime Factorization of 7364

Prime factors of 7364 are 2, 7, 263. Prime factorization of 7364 in exponential form is:

7364 = 22 × 71 × 2631

Prime Factorization of 7376

Prime factors of 7376 are 2, 461. Prime factorization of 7376 in exponential form is:

7376 = 24 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 7364 and 7376.

LCM(7364,7376) = 24 × 71 × 2631 × 4611
LCM(7364,7376) = 13579216