What is the Least Common Multiple of 2769 and 2789?
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 2769 and 2789 is 7722741.
LCM(2769,2789) = 7722741
Least Common Multiple of 2769 and 2789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2769 and 2789, than apply into the LCM equation.
GCF(2769,2789) = 1
LCM(2769,2789) = ( 2769 × 2789) / 1
LCM(2769,2789) = 7722741 / 1
LCM(2769,2789) = 7722741
Least Common Multiple (LCM) of 2769 and 2789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2769 and 2789. First we will calculate the prime factors of 2769 and 2789.
Prime Factorization of 2769
Prime factors of 2769 are 3, 13, 71. Prime factorization of 2769 in exponential form is:
2769 = 31 × 131 × 711
Prime Factorization of 2789
Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:
2789 = 27891
Now multiplying the highest exponent prime factors to calculate the LCM of 2769 and 2789.
LCM(2769,2789) = 31 × 131 × 711 × 27891
LCM(2769,2789) = 7722741
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