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What is the Least Common Multiple of 7357 and 7362?

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 7357 and 7362 is 54162234.

LCM(7357,7362) = 54162234

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Least Common Multiple of 7357 and 7362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7357 and 7362, than apply into the LCM equation.

GCF(7357,7362) = 1
LCM(7357,7362) = ( 7357 × 7362) / 1
LCM(7357,7362) = 54162234 / 1
LCM(7357,7362) = 54162234

Least Common Multiple (LCM) of 7357 and 7362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7357 and 7362. First we will calculate the prime factors of 7357 and 7362.

Prime Factorization of 7357

Prime factors of 7357 are 7, 1051. Prime factorization of 7357 in exponential form is:

7357 = 71 × 10511

Prime Factorization of 7362

Prime factors of 7362 are 2, 3, 409. Prime factorization of 7362 in exponential form is:

7362 = 21 × 32 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 7357 and 7362.

LCM(7357,7362) = 71 × 10511 × 21 × 32 × 4091
LCM(7357,7362) = 54162234