What is the Least Common Multiple of 77326 and 77345?
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 77326 and 77345 is 5980779470.
LCM(77326,77345) = 5980779470
Least Common Multiple of 77326 and 77345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77326 and 77345, than apply into the LCM equation.
GCF(77326,77345) = 1
LCM(77326,77345) = ( 77326 × 77345) / 1
LCM(77326,77345) = 5980779470 / 1
LCM(77326,77345) = 5980779470
Least Common Multiple (LCM) of 77326 and 77345 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77326 and 77345. First we will calculate the prime factors of 77326 and 77345.
Prime Factorization of 77326
Prime factors of 77326 are 2, 23, 41. Prime factorization of 77326 in exponential form is:
77326 = 21 × 231 × 412
Prime Factorization of 77345
Prime factors of 77345 are 5, 31, 499. Prime factorization of 77345 in exponential form is:
77345 = 51 × 311 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 77326 and 77345.
LCM(77326,77345) = 21 × 231 × 412 × 51 × 311 × 4991
LCM(77326,77345) = 5980779470
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