What is the Least Common Multiple of 86453 and 86473?
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 86453 and 86473 is 7475850269.
LCM(86453,86473) = 7475850269
Least Common Multiple of 86453 and 86473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86453 and 86473, than apply into the LCM equation.
GCF(86453,86473) = 1
LCM(86453,86473) = ( 86453 × 86473) / 1
LCM(86453,86473) = 7475850269 / 1
LCM(86453,86473) = 7475850269
Least Common Multiple (LCM) of 86453 and 86473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86453 and 86473. First we will calculate the prime factors of 86453 and 86473.
Prime Factorization of 86453
Prime factors of 86453 are 86453. Prime factorization of 86453 in exponential form is:
86453 = 864531
Prime Factorization of 86473
Prime factors of 86473 are 43, 2011. Prime factorization of 86473 in exponential form is:
86473 = 431 × 20111
Now multiplying the highest exponent prime factors to calculate the LCM of 86453 and 86473.
LCM(86453,86473) = 864531 × 431 × 20111
LCM(86453,86473) = 7475850269
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