What is the Least Common Multiple of 80338 and 80355?
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 80338 and 80355 is 6455559990.
LCM(80338,80355) = 6455559990
Least Common Multiple of 80338 and 80355 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80338 and 80355, than apply into the LCM equation.
GCF(80338,80355) = 1
LCM(80338,80355) = ( 80338 × 80355) / 1
LCM(80338,80355) = 6455559990 / 1
LCM(80338,80355) = 6455559990
Least Common Multiple (LCM) of 80338 and 80355 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80338 and 80355. First we will calculate the prime factors of 80338 and 80355.
Prime Factorization of 80338
Prime factors of 80338 are 2, 40169. Prime factorization of 80338 in exponential form is:
80338 = 21 × 401691
Prime Factorization of 80355
Prime factors of 80355 are 3, 5, 11, 487. Prime factorization of 80355 in exponential form is:
80355 = 31 × 51 × 111 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 80338 and 80355.
LCM(80338,80355) = 21 × 401691 × 31 × 51 × 111 × 4871
LCM(80338,80355) = 6455559990
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