What is the Least Common Multiple of 95567 and 95578?
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 95567 and 95578 is 9134102726.
LCM(95567,95578) = 9134102726
Least Common Multiple of 95567 and 95578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95567 and 95578, than apply into the LCM equation.
GCF(95567,95578) = 1
LCM(95567,95578) = ( 95567 × 95578) / 1
LCM(95567,95578) = 9134102726 / 1
LCM(95567,95578) = 9134102726
Least Common Multiple (LCM) of 95567 and 95578 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95567 and 95578. First we will calculate the prime factors of 95567 and 95578.
Prime Factorization of 95567
Prime factors of 95567 are 227, 421. Prime factorization of 95567 in exponential form is:
95567 = 2271 × 4211
Prime Factorization of 95578
Prime factors of 95578 are 2, 7, 6827. Prime factorization of 95578 in exponential form is:
95578 = 21 × 71 × 68271
Now multiplying the highest exponent prime factors to calculate the LCM of 95567 and 95578.
LCM(95567,95578) = 2271 × 4211 × 21 × 71 × 68271
LCM(95567,95578) = 9134102726
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