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What is the Least Common Multiple of 55622 and 55629?

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 55622 and 55629 is 442028034.

LCM(55622,55629) = 442028034

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Least Common Multiple of 55622 and 55629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55622 and 55629, than apply into the LCM equation.

GCF(55622,55629) = 7
LCM(55622,55629) = ( 55622 × 55629) / 7
LCM(55622,55629) = 3094196238 / 7
LCM(55622,55629) = 442028034

Least Common Multiple (LCM) of 55622 and 55629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55622 and 55629. First we will calculate the prime factors of 55622 and 55629.

Prime Factorization of 55622

Prime factors of 55622 are 2, 7, 29, 137. Prime factorization of 55622 in exponential form is:

55622 = 21 × 71 × 291 × 1371

Prime Factorization of 55629

Prime factors of 55629 are 3, 7, 883. Prime factorization of 55629 in exponential form is:

55629 = 32 × 71 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 55622 and 55629.

LCM(55622,55629) = 21 × 71 × 291 × 1371 × 32 × 8831
LCM(55622,55629) = 442028034