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What is the Least Common Multiple of 7308 and 7321?

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 7308 and 7321 is 53501868.

LCM(7308,7321) = 53501868

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Least Common Multiple of 7308 and 7321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7308 and 7321, than apply into the LCM equation.

GCF(7308,7321) = 1
LCM(7308,7321) = ( 7308 × 7321) / 1
LCM(7308,7321) = 53501868 / 1
LCM(7308,7321) = 53501868

Least Common Multiple (LCM) of 7308 and 7321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7308 and 7321. First we will calculate the prime factors of 7308 and 7321.

Prime Factorization of 7308

Prime factors of 7308 are 2, 3, 7, 29. Prime factorization of 7308 in exponential form is:

7308 = 22 × 32 × 71 × 291

Prime Factorization of 7321

Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:

7321 = 73211

Now multiplying the highest exponent prime factors to calculate the LCM of 7308 and 7321.

LCM(7308,7321) = 22 × 32 × 71 × 291 × 73211
LCM(7308,7321) = 53501868