What is the Least Common Multiple of 80473 and 80493?
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 80473 and 80493 is 6477513189.
LCM(80473,80493) = 6477513189
Least Common Multiple of 80473 and 80493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80473 and 80493, than apply into the LCM equation.
GCF(80473,80493) = 1
LCM(80473,80493) = ( 80473 × 80493) / 1
LCM(80473,80493) = 6477513189 / 1
LCM(80473,80493) = 6477513189
Least Common Multiple (LCM) of 80473 and 80493 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80473 and 80493. First we will calculate the prime factors of 80473 and 80493.
Prime Factorization of 80473
Prime factors of 80473 are 80473. Prime factorization of 80473 in exponential form is:
80473 = 804731
Prime Factorization of 80493
Prime factors of 80493 are 3, 7, 3833. Prime factorization of 80493 in exponential form is:
80493 = 31 × 71 × 38331
Now multiplying the highest exponent prime factors to calculate the LCM of 80473 and 80493.
LCM(80473,80493) = 804731 × 31 × 71 × 38331
LCM(80473,80493) = 6477513189
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