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What is the Least Common Multiple of 55930 and 55940?

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 55930 and 55940 is 312872420.

LCM(55930,55940) = 312872420

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Least Common Multiple of 55930 and 55940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55930 and 55940, than apply into the LCM equation.

GCF(55930,55940) = 10
LCM(55930,55940) = ( 55930 × 55940) / 10
LCM(55930,55940) = 3128724200 / 10
LCM(55930,55940) = 312872420

Least Common Multiple (LCM) of 55930 and 55940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55930 and 55940. First we will calculate the prime factors of 55930 and 55940.

Prime Factorization of 55930

Prime factors of 55930 are 2, 5, 7, 17, 47. Prime factorization of 55930 in exponential form is:

55930 = 21 × 51 × 71 × 171 × 471

Prime Factorization of 55940

Prime factors of 55940 are 2, 5, 2797. Prime factorization of 55940 in exponential form is:

55940 = 22 × 51 × 27971

Now multiplying the highest exponent prime factors to calculate the LCM of 55930 and 55940.

LCM(55930,55940) = 22 × 51 × 71 × 171 × 471 × 27971
LCM(55930,55940) = 312872420