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What is the Least Common Multiple of 55996 and 56004?

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 55996 and 56004 is 783999996.

LCM(55996,56004) = 783999996

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Least Common Multiple of 55996 and 56004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55996 and 56004, than apply into the LCM equation.

GCF(55996,56004) = 4
LCM(55996,56004) = ( 55996 × 56004) / 4
LCM(55996,56004) = 3135999984 / 4
LCM(55996,56004) = 783999996

Least Common Multiple (LCM) of 55996 and 56004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55996 and 56004. First we will calculate the prime factors of 55996 and 56004.

Prime Factorization of 55996

Prime factors of 55996 are 2, 13999. Prime factorization of 55996 in exponential form is:

55996 = 22 × 139991

Prime Factorization of 56004

Prime factors of 56004 are 2, 3, 13, 359. Prime factorization of 56004 in exponential form is:

56004 = 22 × 31 × 131 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 55996 and 56004.

LCM(55996,56004) = 22 × 139991 × 31 × 131 × 3591
LCM(55996,56004) = 783999996