What is the Least Common Multiple of 39163 and 39170?
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 39163 and 39170 is 1534014710.
LCM(39163,39170) = 1534014710
Least Common Multiple of 39163 and 39170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39163 and 39170, than apply into the LCM equation.
GCF(39163,39170) = 1
LCM(39163,39170) = ( 39163 × 39170) / 1
LCM(39163,39170) = 1534014710 / 1
LCM(39163,39170) = 1534014710
Least Common Multiple (LCM) of 39163 and 39170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39163 and 39170. First we will calculate the prime factors of 39163 and 39170.
Prime Factorization of 39163
Prime factors of 39163 are 39163. Prime factorization of 39163 in exponential form is:
39163 = 391631
Prime Factorization of 39170
Prime factors of 39170 are 2, 5, 3917. Prime factorization of 39170 in exponential form is:
39170 = 21 × 51 × 39171
Now multiplying the highest exponent prime factors to calculate the LCM of 39163 and 39170.
LCM(39163,39170) = 391631 × 21 × 51 × 39171
LCM(39163,39170) = 1534014710
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