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What is the Least Common Multiple of 55766 and 55777?

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 55766 and 55777 is 3110460182.

LCM(55766,55777) = 3110460182

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Least Common Multiple of 55766 and 55777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55766 and 55777, than apply into the LCM equation.

GCF(55766,55777) = 1
LCM(55766,55777) = ( 55766 × 55777) / 1
LCM(55766,55777) = 3110460182 / 1
LCM(55766,55777) = 3110460182

Least Common Multiple (LCM) of 55766 and 55777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55766 and 55777. First we will calculate the prime factors of 55766 and 55777.

Prime Factorization of 55766

Prime factors of 55766 are 2, 27883. Prime factorization of 55766 in exponential form is:

55766 = 21 × 278831

Prime Factorization of 55777

Prime factors of 55777 are 17, 193. Prime factorization of 55777 in exponential form is:

55777 = 172 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 55766 and 55777.

LCM(55766,55777) = 21 × 278831 × 172 × 1931
LCM(55766,55777) = 3110460182