What is the Least Common Multiple of 87443 and 87453?
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 87443 and 87453 is 7647152679.
LCM(87443,87453) = 7647152679
Least Common Multiple of 87443 and 87453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87443 and 87453, than apply into the LCM equation.
GCF(87443,87453) = 1
LCM(87443,87453) = ( 87443 × 87453) / 1
LCM(87443,87453) = 7647152679 / 1
LCM(87443,87453) = 7647152679
Least Common Multiple (LCM) of 87443 and 87453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87443 and 87453. First we will calculate the prime factors of 87443 and 87453.
Prime Factorization of 87443
Prime factors of 87443 are 87443. Prime factorization of 87443 in exponential form is:
87443 = 874431
Prime Factorization of 87453
Prime factors of 87453 are 3, 41, 79. Prime factorization of 87453 in exponential form is:
87453 = 33 × 411 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 87443 and 87453.
LCM(87443,87453) = 874431 × 33 × 411 × 791
LCM(87443,87453) = 7647152679
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