What is the Least Common Multiple of 26599 and 26611?
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 26599 and 26611 is 707825989.
LCM(26599,26611) = 707825989
Least Common Multiple of 26599 and 26611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26599 and 26611, than apply into the LCM equation.
GCF(26599,26611) = 1
LCM(26599,26611) = ( 26599 × 26611) / 1
LCM(26599,26611) = 707825989 / 1
LCM(26599,26611) = 707825989
Least Common Multiple (LCM) of 26599 and 26611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26599 and 26611. First we will calculate the prime factors of 26599 and 26611.
Prime Factorization of 26599
Prime factors of 26599 are 67, 397. Prime factorization of 26599 in exponential form is:
26599 = 671 × 3971
Prime Factorization of 26611
Prime factors of 26611 are 13, 23, 89. Prime factorization of 26611 in exponential form is:
26611 = 131 × 231 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 26599 and 26611.
LCM(26599,26611) = 671 × 3971 × 131 × 231 × 891
LCM(26599,26611) = 707825989
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