What is the Least Common Multiple of 87359 and 87363?
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 87359 and 87363 is 7631944317.
LCM(87359,87363) = 7631944317
Least Common Multiple of 87359 and 87363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87359 and 87363, than apply into the LCM equation.
GCF(87359,87363) = 1
LCM(87359,87363) = ( 87359 × 87363) / 1
LCM(87359,87363) = 7631944317 / 1
LCM(87359,87363) = 7631944317
Least Common Multiple (LCM) of 87359 and 87363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87359 and 87363. First we will calculate the prime factors of 87359 and 87363.
Prime Factorization of 87359
Prime factors of 87359 are 87359. Prime factorization of 87359 in exponential form is:
87359 = 873591
Prime Factorization of 87363
Prime factors of 87363 are 3, 17, 571. Prime factorization of 87363 in exponential form is:
87363 = 32 × 171 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 87359 and 87363.
LCM(87359,87363) = 873591 × 32 × 171 × 5711
LCM(87359,87363) = 7631944317
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