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What is the Least Common Multiple of 55383 and 55387?

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 55383 and 55387 is 3067498221.

LCM(55383,55387) = 3067498221

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Least Common Multiple of 55383 and 55387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55383 and 55387, than apply into the LCM equation.

GCF(55383,55387) = 1
LCM(55383,55387) = ( 55383 × 55387) / 1
LCM(55383,55387) = 3067498221 / 1
LCM(55383,55387) = 3067498221

Least Common Multiple (LCM) of 55383 and 55387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55383 and 55387. First we will calculate the prime factors of 55383 and 55387.

Prime Factorization of 55383

Prime factors of 55383 are 3, 18461. Prime factorization of 55383 in exponential form is:

55383 = 31 × 184611

Prime Factorization of 55387

Prime factors of 55387 are 97, 571. Prime factorization of 55387 in exponential form is:

55387 = 971 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 55383 and 55387.

LCM(55383,55387) = 31 × 184611 × 971 × 5711
LCM(55383,55387) = 3067498221