What is the Least Common Multiple of 80918 and 80929?
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 80918 and 80929 is 6548612822.
LCM(80918,80929) = 6548612822
Least Common Multiple of 80918 and 80929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80918 and 80929, than apply into the LCM equation.
GCF(80918,80929) = 1
LCM(80918,80929) = ( 80918 × 80929) / 1
LCM(80918,80929) = 6548612822 / 1
LCM(80918,80929) = 6548612822
Least Common Multiple (LCM) of 80918 and 80929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80918 and 80929. First we will calculate the prime factors of 80918 and 80929.
Prime Factorization of 80918
Prime factors of 80918 are 2, 40459. Prime factorization of 80918 in exponential form is:
80918 = 21 × 404591
Prime Factorization of 80929
Prime factors of 80929 are 80929. Prime factorization of 80929 in exponential form is:
80929 = 809291
Now multiplying the highest exponent prime factors to calculate the LCM of 80918 and 80929.
LCM(80918,80929) = 21 × 404591 × 809291
LCM(80918,80929) = 6548612822
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