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What is the Least Common Multiple of 55696 and 55704?

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 55696 and 55704 is 387811248.

LCM(55696,55704) = 387811248

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Least Common Multiple of 55696 and 55704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55696 and 55704, than apply into the LCM equation.

GCF(55696,55704) = 8
LCM(55696,55704) = ( 55696 × 55704) / 8
LCM(55696,55704) = 3102489984 / 8
LCM(55696,55704) = 387811248

Least Common Multiple (LCM) of 55696 and 55704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55696 and 55704. First we will calculate the prime factors of 55696 and 55704.

Prime Factorization of 55696

Prime factors of 55696 are 2, 59. Prime factorization of 55696 in exponential form is:

55696 = 24 × 592

Prime Factorization of 55704

Prime factors of 55704 are 2, 3, 11, 211. Prime factorization of 55704 in exponential form is:

55704 = 23 × 31 × 111 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 55696 and 55704.

LCM(55696,55704) = 24 × 592 × 31 × 111 × 2111
LCM(55696,55704) = 387811248