What is the Least Common Multiple of 26783 and 26789?
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 26783 and 26789 is 717489787.
LCM(26783,26789) = 717489787
Least Common Multiple of 26783 and 26789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26783 and 26789, than apply into the LCM equation.
GCF(26783,26789) = 1
LCM(26783,26789) = ( 26783 × 26789) / 1
LCM(26783,26789) = 717489787 / 1
LCM(26783,26789) = 717489787
Least Common Multiple (LCM) of 26783 and 26789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26783 and 26789. First we will calculate the prime factors of 26783 and 26789.
Prime Factorization of 26783
Prime factors of 26783 are 26783. Prime factorization of 26783 in exponential form is:
26783 = 267831
Prime Factorization of 26789
Prime factors of 26789 are 7, 43, 89. Prime factorization of 26789 in exponential form is:
26789 = 71 × 431 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 26783 and 26789.
LCM(26783,26789) = 267831 × 71 × 431 × 891
LCM(26783,26789) = 717489787
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