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What is the Least Common Multiple of 12355 and 12362?

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 12355 and 12362 is 21818930.

LCM(12355,12362) = 21818930

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Least Common Multiple of 12355 and 12362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12355 and 12362, than apply into the LCM equation.

GCF(12355,12362) = 7
LCM(12355,12362) = ( 12355 × 12362) / 7
LCM(12355,12362) = 152732510 / 7
LCM(12355,12362) = 21818930

Least Common Multiple (LCM) of 12355 and 12362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12355 and 12362. First we will calculate the prime factors of 12355 and 12362.

Prime Factorization of 12355

Prime factors of 12355 are 5, 7, 353. Prime factorization of 12355 in exponential form is:

12355 = 51 × 71 × 3531

Prime Factorization of 12362

Prime factors of 12362 are 2, 7, 883. Prime factorization of 12362 in exponential form is:

12362 = 21 × 71 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 12355 and 12362.

LCM(12355,12362) = 51 × 71 × 3531 × 21 × 8831
LCM(12355,12362) = 21818930