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What is the Least Common Multiple of 7348 and 7360?

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 7348 and 7360 is 13520320.

LCM(7348,7360) = 13520320

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Least Common Multiple of 7348 and 7360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7348 and 7360, than apply into the LCM equation.

GCF(7348,7360) = 4
LCM(7348,7360) = ( 7348 × 7360) / 4
LCM(7348,7360) = 54081280 / 4
LCM(7348,7360) = 13520320

Least Common Multiple (LCM) of 7348 and 7360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7348 and 7360. First we will calculate the prime factors of 7348 and 7360.

Prime Factorization of 7348

Prime factors of 7348 are 2, 11, 167. Prime factorization of 7348 in exponential form is:

7348 = 22 × 111 × 1671

Prime Factorization of 7360

Prime factors of 7360 are 2, 5, 23. Prime factorization of 7360 in exponential form is:

7360 = 26 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7348 and 7360.

LCM(7348,7360) = 26 × 111 × 1671 × 51 × 231
LCM(7348,7360) = 13520320