What is the Least Common Multiple of 80358 and 80363?
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 80358 and 80363 is 6457809954.
LCM(80358,80363) = 6457809954
Least Common Multiple of 80358 and 80363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80358 and 80363, than apply into the LCM equation.
GCF(80358,80363) = 1
LCM(80358,80363) = ( 80358 × 80363) / 1
LCM(80358,80363) = 6457809954 / 1
LCM(80358,80363) = 6457809954
Least Common Multiple (LCM) of 80358 and 80363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80358 and 80363. First we will calculate the prime factors of 80358 and 80363.
Prime Factorization of 80358
Prime factors of 80358 are 2, 3, 59, 227. Prime factorization of 80358 in exponential form is:
80358 = 21 × 31 × 591 × 2271
Prime Factorization of 80363
Prime factors of 80363 are 80363. Prime factorization of 80363 in exponential form is:
80363 = 803631
Now multiplying the highest exponent prime factors to calculate the LCM of 80358 and 80363.
LCM(80358,80363) = 21 × 31 × 591 × 2271 × 803631
LCM(80358,80363) = 6457809954
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