What is the Least Common Multiple of 86143 and 86153?
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 86143 and 86153 is 7421477879.
LCM(86143,86153) = 7421477879
Least Common Multiple of 86143 and 86153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86143 and 86153, than apply into the LCM equation.
GCF(86143,86153) = 1
LCM(86143,86153) = ( 86143 × 86153) / 1
LCM(86143,86153) = 7421477879 / 1
LCM(86143,86153) = 7421477879
Least Common Multiple (LCM) of 86143 and 86153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86143 and 86153. First we will calculate the prime factors of 86143 and 86153.
Prime Factorization of 86143
Prime factors of 86143 are 86143. Prime factorization of 86143 in exponential form is:
86143 = 861431
Prime Factorization of 86153
Prime factors of 86153 are 101, 853. Prime factorization of 86153 in exponential form is:
86153 = 1011 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 86143 and 86153.
LCM(86143,86153) = 861431 × 1011 × 8531
LCM(86143,86153) = 7421477879
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