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What is the Least Common Multiple of 55668 and 55679?

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 55668 and 55679 is 3099538572.

LCM(55668,55679) = 3099538572

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Least Common Multiple of 55668 and 55679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55668 and 55679, than apply into the LCM equation.

GCF(55668,55679) = 1
LCM(55668,55679) = ( 55668 × 55679) / 1
LCM(55668,55679) = 3099538572 / 1
LCM(55668,55679) = 3099538572

Least Common Multiple (LCM) of 55668 and 55679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55668 and 55679. First we will calculate the prime factors of 55668 and 55679.

Prime Factorization of 55668

Prime factors of 55668 are 2, 3, 4639. Prime factorization of 55668 in exponential form is:

55668 = 22 × 31 × 46391

Prime Factorization of 55679

Prime factors of 55679 are 13, 4283. Prime factorization of 55679 in exponential form is:

55679 = 131 × 42831

Now multiplying the highest exponent prime factors to calculate the LCM of 55668 and 55679.

LCM(55668,55679) = 22 × 31 × 46391 × 131 × 42831
LCM(55668,55679) = 3099538572