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What is the Least Common Multiple of 5379 and 5396?

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 5379 and 5396 is 29025084.

LCM(5379,5396) = 29025084

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Least Common Multiple of 5379 and 5396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5379 and 5396, than apply into the LCM equation.

GCF(5379,5396) = 1
LCM(5379,5396) = ( 5379 × 5396) / 1
LCM(5379,5396) = 29025084 / 1
LCM(5379,5396) = 29025084

Least Common Multiple (LCM) of 5379 and 5396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5379 and 5396. First we will calculate the prime factors of 5379 and 5396.

Prime Factorization of 5379

Prime factors of 5379 are 3, 11, 163. Prime factorization of 5379 in exponential form is:

5379 = 31 × 111 × 1631

Prime Factorization of 5396

Prime factors of 5396 are 2, 19, 71. Prime factorization of 5396 in exponential form is:

5396 = 22 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 5379 and 5396.

LCM(5379,5396) = 31 × 111 × 1631 × 22 × 191 × 711
LCM(5379,5396) = 29025084