What is the Least Common Multiple of 26991 and 26996?
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 26991 and 26996 is 728649036.
LCM(26991,26996) = 728649036
Least Common Multiple of 26991 and 26996 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26991 and 26996, than apply into the LCM equation.
GCF(26991,26996) = 1
LCM(26991,26996) = ( 26991 × 26996) / 1
LCM(26991,26996) = 728649036 / 1
LCM(26991,26996) = 728649036
Least Common Multiple (LCM) of 26991 and 26996 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26991 and 26996. First we will calculate the prime factors of 26991 and 26996.
Prime Factorization of 26991
Prime factors of 26991 are 3, 2999. Prime factorization of 26991 in exponential form is:
26991 = 32 × 29991
Prime Factorization of 26996
Prime factors of 26996 are 2, 17, 397. Prime factorization of 26996 in exponential form is:
26996 = 22 × 171 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 26991 and 26996.
LCM(26991,26996) = 32 × 29991 × 22 × 171 × 3971
LCM(26991,26996) = 728649036
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