What is the Least Common Multiple of 7811 and 7823?
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 7811 and 7823 is 61105453.
LCM(7811,7823) = 61105453
Least Common Multiple of 7811 and 7823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7811 and 7823, than apply into the LCM equation.
GCF(7811,7823) = 1
LCM(7811,7823) = ( 7811 × 7823) / 1
LCM(7811,7823) = 61105453 / 1
LCM(7811,7823) = 61105453
Least Common Multiple (LCM) of 7811 and 7823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7811 and 7823. First we will calculate the prime factors of 7811 and 7823.
Prime Factorization of 7811
Prime factors of 7811 are 73, 107. Prime factorization of 7811 in exponential form is:
7811 = 731 × 1071
Prime Factorization of 7823
Prime factors of 7823 are 7823. Prime factorization of 7823 in exponential form is:
7823 = 78231
Now multiplying the highest exponent prime factors to calculate the LCM of 7811 and 7823.
LCM(7811,7823) = 731 × 1071 × 78231
LCM(7811,7823) = 61105453
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