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What is the Least Common Multiple of 55604 and 55622?

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 55604 and 55622 is 1546402844.

LCM(55604,55622) = 1546402844

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Least Common Multiple of 55604 and 55622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55604 and 55622, than apply into the LCM equation.

GCF(55604,55622) = 2
LCM(55604,55622) = ( 55604 × 55622) / 2
LCM(55604,55622) = 3092805688 / 2
LCM(55604,55622) = 1546402844

Least Common Multiple (LCM) of 55604 and 55622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55604 and 55622. First we will calculate the prime factors of 55604 and 55622.

Prime Factorization of 55604

Prime factors of 55604 are 2, 13901. Prime factorization of 55604 in exponential form is:

55604 = 22 × 139011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 55604 and 55622.

LCM(55604,55622) = 22 × 139011 × 71 × 291 × 1371
LCM(55604,55622) = 1546402844