What is the Least Common Multiple of 26792 and 26807?
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 26792 and 26807 is 718213144.
LCM(26792,26807) = 718213144
Least Common Multiple of 26792 and 26807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26792 and 26807, than apply into the LCM equation.
GCF(26792,26807) = 1
LCM(26792,26807) = ( 26792 × 26807) / 1
LCM(26792,26807) = 718213144 / 1
LCM(26792,26807) = 718213144
Least Common Multiple (LCM) of 26792 and 26807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26792 and 26807. First we will calculate the prime factors of 26792 and 26807.
Prime Factorization of 26792
Prime factors of 26792 are 2, 17, 197. Prime factorization of 26792 in exponential form is:
26792 = 23 × 171 × 1971
Prime Factorization of 26807
Prime factors of 26807 are 11, 2437. Prime factorization of 26807 in exponential form is:
26807 = 111 × 24371
Now multiplying the highest exponent prime factors to calculate the LCM of 26792 and 26807.
LCM(26792,26807) = 23 × 171 × 1971 × 111 × 24371
LCM(26792,26807) = 718213144
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