What is the Least Common Multiple of 52367 and 52386?
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 52367 and 52386 is 2743297662.
LCM(52367,52386) = 2743297662
Least Common Multiple of 52367 and 52386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52367 and 52386, than apply into the LCM equation.
GCF(52367,52386) = 1
LCM(52367,52386) = ( 52367 × 52386) / 1
LCM(52367,52386) = 2743297662 / 1
LCM(52367,52386) = 2743297662
Least Common Multiple (LCM) of 52367 and 52386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52367 and 52386. First we will calculate the prime factors of 52367 and 52386.
Prime Factorization of 52367
Prime factors of 52367 are 7, 7481. Prime factorization of 52367 in exponential form is:
52367 = 71 × 74811
Prime Factorization of 52386
Prime factors of 52386 are 2, 3, 8731. Prime factorization of 52386 in exponential form is:
52386 = 21 × 31 × 87311
Now multiplying the highest exponent prime factors to calculate the LCM of 52367 and 52386.
LCM(52367,52386) = 71 × 74811 × 21 × 31 × 87311
LCM(52367,52386) = 2743297662
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