What is the Least Common Multiple of 2767 and 2786?
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 2767 and 2786 is 7708862.
LCM(2767,2786) = 7708862
Least Common Multiple of 2767 and 2786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2767 and 2786, than apply into the LCM equation.
GCF(2767,2786) = 1
LCM(2767,2786) = ( 2767 × 2786) / 1
LCM(2767,2786) = 7708862 / 1
LCM(2767,2786) = 7708862
Least Common Multiple (LCM) of 2767 and 2786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2767 and 2786. First we will calculate the prime factors of 2767 and 2786.
Prime Factorization of 2767
Prime factors of 2767 are 2767. Prime factorization of 2767 in exponential form is:
2767 = 27671
Prime Factorization of 2786
Prime factors of 2786 are 2, 7, 199. Prime factorization of 2786 in exponential form is:
2786 = 21 × 71 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 2767 and 2786.
LCM(2767,2786) = 27671 × 21 × 71 × 1991
LCM(2767,2786) = 7708862
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