What is the Least Common Multiple of 80828 and 80847?
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 80828 and 80847 is 6534701316.
LCM(80828,80847) = 6534701316
Least Common Multiple of 80828 and 80847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80828 and 80847, than apply into the LCM equation.
GCF(80828,80847) = 1
LCM(80828,80847) = ( 80828 × 80847) / 1
LCM(80828,80847) = 6534701316 / 1
LCM(80828,80847) = 6534701316
Least Common Multiple (LCM) of 80828 and 80847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80828 and 80847. First we will calculate the prime factors of 80828 and 80847.
Prime Factorization of 80828
Prime factors of 80828 are 2, 11, 167. Prime factorization of 80828 in exponential form is:
80828 = 22 × 112 × 1671
Prime Factorization of 80847
Prime factors of 80847 are 3, 13, 691. Prime factorization of 80847 in exponential form is:
80847 = 32 × 131 × 6911
Now multiplying the highest exponent prime factors to calculate the LCM of 80828 and 80847.
LCM(80828,80847) = 22 × 112 × 1671 × 32 × 131 × 6911
LCM(80828,80847) = 6534701316
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