What is the Least Common Multiple of 70165 and 70177?
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 70165 and 70177 is 4923969205.
LCM(70165,70177) = 4923969205
Least Common Multiple of 70165 and 70177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70165 and 70177, than apply into the LCM equation.
GCF(70165,70177) = 1
LCM(70165,70177) = ( 70165 × 70177) / 1
LCM(70165,70177) = 4923969205 / 1
LCM(70165,70177) = 4923969205
Least Common Multiple (LCM) of 70165 and 70177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70165 and 70177. First we will calculate the prime factors of 70165 and 70177.
Prime Factorization of 70165
Prime factors of 70165 are 5, 14033. Prime factorization of 70165 in exponential form is:
70165 = 51 × 140331
Prime Factorization of 70177
Prime factors of 70177 are 70177. Prime factorization of 70177 in exponential form is:
70177 = 701771
Now multiplying the highest exponent prime factors to calculate the LCM of 70165 and 70177.
LCM(70165,70177) = 51 × 140331 × 701771
LCM(70165,70177) = 4923969205
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