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What is the Least Common Multiple of 5379 and 5388?

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 5388 is 9660684.

LCM(5379,5388) = 9660684

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Least Common Multiple of 5379 and 5388 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 5388, than apply into the LCM equation.

GCF(5379,5388) = 3
LCM(5379,5388) = ( 5379 × 5388) / 3
LCM(5379,5388) = 28982052 / 3
LCM(5379,5388) = 9660684

Least Common Multiple (LCM) of 5379 and 5388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5379 and 5388. First we will calculate the prime factors of 5379 and 5388.

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 5388

Prime factors of 5388 are 2, 3, 449. Prime factorization of 5388 in exponential form is:

5388 = 22 × 31 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 5379 and 5388.

LCM(5379,5388) = 31 × 111 × 1631 × 22 × 4491
LCM(5379,5388) = 9660684