What is the Least Common Multiple of 81353 and 81371?
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 81353 and 81371 is 6619774963.
LCM(81353,81371) = 6619774963
Least Common Multiple of 81353 and 81371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81353 and 81371, than apply into the LCM equation.
GCF(81353,81371) = 1
LCM(81353,81371) = ( 81353 × 81371) / 1
LCM(81353,81371) = 6619774963 / 1
LCM(81353,81371) = 6619774963
Least Common Multiple (LCM) of 81353 and 81371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81353 and 81371. First we will calculate the prime factors of 81353 and 81371.
Prime Factorization of 81353
Prime factors of 81353 are 81353. Prime factorization of 81353 in exponential form is:
81353 = 813531
Prime Factorization of 81371
Prime factors of 81371 are 81371. Prime factorization of 81371 in exponential form is:
81371 = 813711
Now multiplying the highest exponent prime factors to calculate the LCM of 81353 and 81371.
LCM(81353,81371) = 813531 × 813711
LCM(81353,81371) = 6619774963
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