What is the Least Common Multiple of 95863 and 95868?
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 95863 and 95868 is 9190194084.
LCM(95863,95868) = 9190194084
Least Common Multiple of 95863 and 95868 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95863 and 95868, than apply into the LCM equation.
GCF(95863,95868) = 1
LCM(95863,95868) = ( 95863 × 95868) / 1
LCM(95863,95868) = 9190194084 / 1
LCM(95863,95868) = 9190194084
Least Common Multiple (LCM) of 95863 and 95868 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95863 and 95868. First we will calculate the prime factors of 95863 and 95868.
Prime Factorization of 95863
Prime factors of 95863 are 17, 5639. Prime factorization of 95863 in exponential form is:
95863 = 171 × 56391
Prime Factorization of 95868
Prime factors of 95868 are 2, 3, 2663. Prime factorization of 95868 in exponential form is:
95868 = 22 × 32 × 26631
Now multiplying the highest exponent prime factors to calculate the LCM of 95863 and 95868.
LCM(95863,95868) = 171 × 56391 × 22 × 32 × 26631
LCM(95863,95868) = 9190194084
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