What is the Least Common Multiple of 87844 and 87863?
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 87844 and 87863 is 7718237372.
LCM(87844,87863) = 7718237372
Least Common Multiple of 87844 and 87863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87844 and 87863, than apply into the LCM equation.
GCF(87844,87863) = 1
LCM(87844,87863) = ( 87844 × 87863) / 1
LCM(87844,87863) = 7718237372 / 1
LCM(87844,87863) = 7718237372
Least Common Multiple (LCM) of 87844 and 87863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87844 and 87863. First we will calculate the prime factors of 87844 and 87863.
Prime Factorization of 87844
Prime factors of 87844 are 2, 21961. Prime factorization of 87844 in exponential form is:
87844 = 22 × 219611
Prime Factorization of 87863
Prime factors of 87863 are 41, 2143. Prime factorization of 87863 in exponential form is:
87863 = 411 × 21431
Now multiplying the highest exponent prime factors to calculate the LCM of 87844 and 87863.
LCM(87844,87863) = 22 × 219611 × 411 × 21431
LCM(87844,87863) = 7718237372
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