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What is the Least Common Multiple of 55374 and 55384?

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 55374 and 55384 is 1533416808.

LCM(55374,55384) = 1533416808

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Least Common Multiple of 55374 and 55384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55374 and 55384, than apply into the LCM equation.

GCF(55374,55384) = 2
LCM(55374,55384) = ( 55374 × 55384) / 2
LCM(55374,55384) = 3066833616 / 2
LCM(55374,55384) = 1533416808

Least Common Multiple (LCM) of 55374 and 55384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55374 and 55384. First we will calculate the prime factors of 55374 and 55384.

Prime Factorization of 55374

Prime factors of 55374 are 2, 3, 11, 839. Prime factorization of 55374 in exponential form is:

55374 = 21 × 31 × 111 × 8391

Prime Factorization of 55384

Prime factors of 55384 are 2, 7, 23, 43. Prime factorization of 55384 in exponential form is:

55384 = 23 × 71 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 55374 and 55384.

LCM(55374,55384) = 23 × 31 × 111 × 8391 × 71 × 231 × 431
LCM(55374,55384) = 1533416808