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What is the Least Common Multiple of 55931 and 55945?

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 55931 and 55945 is 3129059795.

LCM(55931,55945) = 3129059795

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Least Common Multiple of 55931 and 55945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55931 and 55945, than apply into the LCM equation.

GCF(55931,55945) = 1
LCM(55931,55945) = ( 55931 × 55945) / 1
LCM(55931,55945) = 3129059795 / 1
LCM(55931,55945) = 3129059795

Least Common Multiple (LCM) of 55931 and 55945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55931 and 55945. First we will calculate the prime factors of 55931 and 55945.

Prime Factorization of 55931

Prime factors of 55931 are 55931. Prime factorization of 55931 in exponential form is:

55931 = 559311

Prime Factorization of 55945

Prime factors of 55945 are 5, 67, 167. Prime factorization of 55945 in exponential form is:

55945 = 51 × 671 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 55931 and 55945.

LCM(55931,55945) = 559311 × 51 × 671 × 1671
LCM(55931,55945) = 3129059795