What is the Least Common Multiple of 87847 and 87858?
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 87847 and 87858 is 7718061726.
LCM(87847,87858) = 7718061726
Least Common Multiple of 87847 and 87858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87847 and 87858, than apply into the LCM equation.
GCF(87847,87858) = 1
LCM(87847,87858) = ( 87847 × 87858) / 1
LCM(87847,87858) = 7718061726 / 1
LCM(87847,87858) = 7718061726
Least Common Multiple (LCM) of 87847 and 87858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87847 and 87858. First we will calculate the prime factors of 87847 and 87858.
Prime Factorization of 87847
Prime factors of 87847 are 107, 821. Prime factorization of 87847 in exponential form is:
87847 = 1071 × 8211
Prime Factorization of 87858
Prime factors of 87858 are 2, 3, 1627. Prime factorization of 87858 in exponential form is:
87858 = 21 × 33 × 16271
Now multiplying the highest exponent prime factors to calculate the LCM of 87847 and 87858.
LCM(87847,87858) = 1071 × 8211 × 21 × 33 × 16271
LCM(87847,87858) = 7718061726
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