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What is the Least Common Multiple of 55719 and 55730?

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 55719 and 55730 is 3105219870.

LCM(55719,55730) = 3105219870

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Least Common Multiple of 55719 and 55730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55719 and 55730, than apply into the LCM equation.

GCF(55719,55730) = 1
LCM(55719,55730) = ( 55719 × 55730) / 1
LCM(55719,55730) = 3105219870 / 1
LCM(55719,55730) = 3105219870

Least Common Multiple (LCM) of 55719 and 55730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55719 and 55730. First we will calculate the prime factors of 55719 and 55730.

Prime Factorization of 55719

Prime factors of 55719 are 3, 41, 151. Prime factorization of 55719 in exponential form is:

55719 = 32 × 411 × 1511

Prime Factorization of 55730

Prime factors of 55730 are 2, 5, 5573. Prime factorization of 55730 in exponential form is:

55730 = 21 × 51 × 55731

Now multiplying the highest exponent prime factors to calculate the LCM of 55719 and 55730.

LCM(55719,55730) = 32 × 411 × 1511 × 21 × 51 × 55731
LCM(55719,55730) = 3105219870