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What is the Least Common Multiple of 55730 and 55745?

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 55730 and 55745 is 621333770.

LCM(55730,55745) = 621333770

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Least Common Multiple of 55730 and 55745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55730 and 55745, than apply into the LCM equation.

GCF(55730,55745) = 5
LCM(55730,55745) = ( 55730 × 55745) / 5
LCM(55730,55745) = 3106668850 / 5
LCM(55730,55745) = 621333770

Least Common Multiple (LCM) of 55730 and 55745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55730 and 55745. First we will calculate the prime factors of 55730 and 55745.

Prime Factorization of 55730

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

55730 = 21 × 51 × 55731

Prime Factorization of 55745

Prime factors of 55745 are 5, 11149. Prime factorization of 55745 in exponential form is:

55745 = 51 × 111491

Now multiplying the highest exponent prime factors to calculate the LCM of 55730 and 55745.

LCM(55730,55745) = 21 × 51 × 55731 × 111491
LCM(55730,55745) = 621333770