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What is the Least Common Multiple of 55730 and 55749?

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 55749 is 3106891770.

LCM(55730,55749) = 3106891770

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Least Common Multiple of 55730 and 55749 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 55749, than apply into the LCM equation.

GCF(55730,55749) = 1
LCM(55730,55749) = ( 55730 × 55749) / 1
LCM(55730,55749) = 3106891770 / 1
LCM(55730,55749) = 3106891770

Least Common Multiple (LCM) of 55730 and 55749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55730 and 55749. First we will calculate the prime factors of 55730 and 55749.

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 55749

Prime factors of 55749 are 3, 18583. Prime factorization of 55749 in exponential form is:

55749 = 31 × 185831

Now multiplying the highest exponent prime factors to calculate the LCM of 55730 and 55749.

LCM(55730,55749) = 21 × 51 × 55731 × 31 × 185831
LCM(55730,55749) = 3106891770