What is the Least Common Multiple of 65173 and 65179?
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 65173 and 65179 is 4247910967.
LCM(65173,65179) = 4247910967
Least Common Multiple of 65173 and 65179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65173 and 65179, than apply into the LCM equation.
GCF(65173,65179) = 1
LCM(65173,65179) = ( 65173 × 65179) / 1
LCM(65173,65179) = 4247910967 / 1
LCM(65173,65179) = 4247910967
Least Common Multiple (LCM) of 65173 and 65179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65173 and 65179. First we will calculate the prime factors of 65173 and 65179.
Prime Factorization of 65173
Prime factors of 65173 are 65173. Prime factorization of 65173 in exponential form is:
65173 = 651731
Prime Factorization of 65179
Prime factors of 65179 are 65179. Prime factorization of 65179 in exponential form is:
65179 = 651791
Now multiplying the highest exponent prime factors to calculate the LCM of 65173 and 65179.
LCM(65173,65179) = 651731 × 651791
LCM(65173,65179) = 4247910967
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