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What is the Least Common Multiple of 55364 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 55364 and 55384 is 766569944.

LCM(55364,55384) = 766569944

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Least Common Multiple of 55364 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 55364 and 55384, than apply into the LCM equation.

GCF(55364,55384) = 4
LCM(55364,55384) = ( 55364 × 55384) / 4
LCM(55364,55384) = 3066279776 / 4
LCM(55364,55384) = 766569944

Least Common Multiple (LCM) of 55364 and 55384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55364 and 55384. First we will calculate the prime factors of 55364 and 55384.

Prime Factorization of 55364

Prime factors of 55364 are 2, 13841. Prime factorization of 55364 in exponential form is:

55364 = 22 × 138411

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 55364 and 55384.

LCM(55364,55384) = 23 × 138411 × 71 × 231 × 431
LCM(55364,55384) = 766569944