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What is the Least Common Multiple of 26992 and 27004?

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 26992 and 27004 is 182222992.

LCM(26992,27004) = 182222992

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Least Common Multiple of 26992 and 27004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26992 and 27004, than apply into the LCM equation.

GCF(26992,27004) = 4
LCM(26992,27004) = ( 26992 × 27004) / 4
LCM(26992,27004) = 728891968 / 4
LCM(26992,27004) = 182222992

Least Common Multiple (LCM) of 26992 and 27004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26992 and 27004. First we will calculate the prime factors of 26992 and 27004.

Prime Factorization of 26992

Prime factors of 26992 are 2, 7, 241. Prime factorization of 26992 in exponential form is:

26992 = 24 × 71 × 2411

Prime Factorization of 27004

Prime factors of 27004 are 2, 43, 157. Prime factorization of 27004 in exponential form is:

27004 = 22 × 431 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 26992 and 27004.

LCM(26992,27004) = 24 × 71 × 2411 × 431 × 1571
LCM(26992,27004) = 182222992