What is the Least Common Multiple of 87356 and 87373?
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 87356 and 87373 is 7632555788.
LCM(87356,87373) = 7632555788
Least Common Multiple of 87356 and 87373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87356 and 87373, than apply into the LCM equation.
GCF(87356,87373) = 1
LCM(87356,87373) = ( 87356 × 87373) / 1
LCM(87356,87373) = 7632555788 / 1
LCM(87356,87373) = 7632555788
Least Common Multiple (LCM) of 87356 and 87373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87356 and 87373. First we will calculate the prime factors of 87356 and 87373.
Prime Factorization of 87356
Prime factors of 87356 are 2, 21839. Prime factorization of 87356 in exponential form is:
87356 = 22 × 218391
Prime Factorization of 87373
Prime factors of 87373 are 11, 13, 47. Prime factorization of 87373 in exponential form is:
87373 = 111 × 132 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 87356 and 87373.
LCM(87356,87373) = 22 × 218391 × 111 × 132 × 471
LCM(87356,87373) = 7632555788
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