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What is the Least Common Multiple of 55720 and 55733?

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 55720 and 55733 is 3105442760.

LCM(55720,55733) = 3105442760

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Least Common Multiple of 55720 and 55733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55720 and 55733, than apply into the LCM equation.

GCF(55720,55733) = 1
LCM(55720,55733) = ( 55720 × 55733) / 1
LCM(55720,55733) = 3105442760 / 1
LCM(55720,55733) = 3105442760

Least Common Multiple (LCM) of 55720 and 55733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55720 and 55733. First we will calculate the prime factors of 55720 and 55733.

Prime Factorization of 55720

Prime factors of 55720 are 2, 5, 7, 199. Prime factorization of 55720 in exponential form is:

55720 = 23 × 51 × 71 × 1991

Prime Factorization of 55733

Prime factors of 55733 are 55733. Prime factorization of 55733 in exponential form is:

55733 = 557331

Now multiplying the highest exponent prime factors to calculate the LCM of 55720 and 55733.

LCM(55720,55733) = 23 × 51 × 71 × 1991 × 557331
LCM(55720,55733) = 3105442760