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What is the Least Common Multiple of 10356 and 10367?

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 10356 and 10367 is 107360652.

LCM(10356,10367) = 107360652

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Least Common Multiple of 10356 and 10367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10356 and 10367, than apply into the LCM equation.

GCF(10356,10367) = 1
LCM(10356,10367) = ( 10356 × 10367) / 1
LCM(10356,10367) = 107360652 / 1
LCM(10356,10367) = 107360652

Least Common Multiple (LCM) of 10356 and 10367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10356 and 10367. First we will calculate the prime factors of 10356 and 10367.

Prime Factorization of 10356

Prime factors of 10356 are 2, 3, 863. Prime factorization of 10356 in exponential form is:

10356 = 22 × 31 × 8631

Prime Factorization of 10367

Prime factors of 10367 are 7, 1481. Prime factorization of 10367 in exponential form is:

10367 = 71 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 10356 and 10367.

LCM(10356,10367) = 22 × 31 × 8631 × 71 × 14811
LCM(10356,10367) = 107360652