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What is the Least Common Multiple of 55908 and 55922?

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 55908 and 55922 is 1563243588.

LCM(55908,55922) = 1563243588

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Least Common Multiple of 55908 and 55922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55908 and 55922, than apply into the LCM equation.

GCF(55908,55922) = 2
LCM(55908,55922) = ( 55908 × 55922) / 2
LCM(55908,55922) = 3126487176 / 2
LCM(55908,55922) = 1563243588

Least Common Multiple (LCM) of 55908 and 55922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55908 and 55922. First we will calculate the prime factors of 55908 and 55922.

Prime Factorization of 55908

Prime factors of 55908 are 2, 3, 1553. Prime factorization of 55908 in exponential form is:

55908 = 22 × 32 × 15531

Prime Factorization of 55922

Prime factors of 55922 are 2, 27961. Prime factorization of 55922 in exponential form is:

55922 = 21 × 279611

Now multiplying the highest exponent prime factors to calculate the LCM of 55908 and 55922.

LCM(55908,55922) = 22 × 32 × 15531 × 279611
LCM(55908,55922) = 1563243588