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What is the Least Common Multiple of 26996 and 27002?

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 26996 and 27002 is 364472996.

LCM(26996,27002) = 364472996

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Least Common Multiple of 26996 and 27002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26996 and 27002, than apply into the LCM equation.

GCF(26996,27002) = 2
LCM(26996,27002) = ( 26996 × 27002) / 2
LCM(26996,27002) = 728945992 / 2
LCM(26996,27002) = 364472996

Least Common Multiple (LCM) of 26996 and 27002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26996 and 27002. First we will calculate the prime factors of 26996 and 27002.

Prime Factorization of 26996

Prime factors of 26996 are 2, 17, 397. Prime factorization of 26996 in exponential form is:

26996 = 22 × 171 × 3971

Prime Factorization of 27002

Prime factors of 27002 are 2, 23, 587. Prime factorization of 27002 in exponential form is:

27002 = 21 × 231 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 26996 and 27002.

LCM(26996,27002) = 22 × 171 × 3971 × 231 × 5871
LCM(26996,27002) = 364472996