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What is the Least Common Multiple of 55934 and 55954?

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 55934 and 55954 is 1564865518.

LCM(55934,55954) = 1564865518

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Least Common Multiple of 55934 and 55954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55934 and 55954, than apply into the LCM equation.

GCF(55934,55954) = 2
LCM(55934,55954) = ( 55934 × 55954) / 2
LCM(55934,55954) = 3129731036 / 2
LCM(55934,55954) = 1564865518

Least Common Multiple (LCM) of 55934 and 55954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55934 and 55954. First we will calculate the prime factors of 55934 and 55954.

Prime Factorization of 55934

Prime factors of 55934 are 2, 27967. Prime factorization of 55934 in exponential form is:

55934 = 21 × 279671

Prime Factorization of 55954

Prime factors of 55954 are 2, 101, 277. Prime factorization of 55954 in exponential form is:

55954 = 21 × 1011 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 55934 and 55954.

LCM(55934,55954) = 21 × 279671 × 1011 × 2771
LCM(55934,55954) = 1564865518