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What is the Least Common Multiple of 55836 and 55840?

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 55836 and 55840 is 779470560.

LCM(55836,55840) = 779470560

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Least Common Multiple of 55836 and 55840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55836 and 55840, than apply into the LCM equation.

GCF(55836,55840) = 4
LCM(55836,55840) = ( 55836 × 55840) / 4
LCM(55836,55840) = 3117882240 / 4
LCM(55836,55840) = 779470560

Least Common Multiple (LCM) of 55836 and 55840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55836 and 55840. First we will calculate the prime factors of 55836 and 55840.

Prime Factorization of 55836

Prime factors of 55836 are 2, 3, 11, 47. Prime factorization of 55836 in exponential form is:

55836 = 22 × 33 × 111 × 471

Prime Factorization of 55840

Prime factors of 55840 are 2, 5, 349. Prime factorization of 55840 in exponential form is:

55840 = 25 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 55836 and 55840.

LCM(55836,55840) = 25 × 33 × 111 × 471 × 51 × 3491
LCM(55836,55840) = 779470560