What is the Least Common Multiple of 80927 and 80947?
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 80927 and 80947 is 6550797869.
LCM(80927,80947) = 6550797869
Least Common Multiple of 80927 and 80947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80927 and 80947, than apply into the LCM equation.
GCF(80927,80947) = 1
LCM(80927,80947) = ( 80927 × 80947) / 1
LCM(80927,80947) = 6550797869 / 1
LCM(80927,80947) = 6550797869
Least Common Multiple (LCM) of 80927 and 80947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80927 and 80947. First we will calculate the prime factors of 80927 and 80947.
Prime Factorization of 80927
Prime factors of 80927 are 7, 11, 1051. Prime factorization of 80927 in exponential form is:
80927 = 71 × 111 × 10511
Prime Factorization of 80947
Prime factors of 80947 are 61, 1327. Prime factorization of 80947 in exponential form is:
80947 = 611 × 13271
Now multiplying the highest exponent prime factors to calculate the LCM of 80927 and 80947.
LCM(80927,80947) = 71 × 111 × 10511 × 611 × 13271
LCM(80927,80947) = 6550797869
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