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What is the Least Common Multiple of 5364 and 5380?

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 5364 and 5380 is 7214580.

LCM(5364,5380) = 7214580

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Least Common Multiple of 5364 and 5380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5364 and 5380, than apply into the LCM equation.

GCF(5364,5380) = 4
LCM(5364,5380) = ( 5364 × 5380) / 4
LCM(5364,5380) = 28858320 / 4
LCM(5364,5380) = 7214580

Least Common Multiple (LCM) of 5364 and 5380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5364 and 5380. First we will calculate the prime factors of 5364 and 5380.

Prime Factorization of 5364

Prime factors of 5364 are 2, 3, 149. Prime factorization of 5364 in exponential form is:

5364 = 22 × 32 × 1491

Prime Factorization of 5380

Prime factors of 5380 are 2, 5, 269. Prime factorization of 5380 in exponential form is:

5380 = 22 × 51 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 5364 and 5380.

LCM(5364,5380) = 22 × 32 × 1491 × 51 × 2691
LCM(5364,5380) = 7214580