What is the Least Common Multiple of 60059 and 60063?
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 60059 and 60063 is 3607323717.
LCM(60059,60063) = 3607323717
Least Common Multiple of 60059 and 60063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60059 and 60063, than apply into the LCM equation.
GCF(60059,60063) = 1
LCM(60059,60063) = ( 60059 × 60063) / 1
LCM(60059,60063) = 3607323717 / 1
LCM(60059,60063) = 3607323717
Least Common Multiple (LCM) of 60059 and 60063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60059 and 60063. First we will calculate the prime factors of 60059 and 60063.
Prime Factorization of 60059
Prime factors of 60059 are 19, 29, 109. Prime factorization of 60059 in exponential form is:
60059 = 191 × 291 × 1091
Prime Factorization of 60063
Prime factors of 60063 are 3, 20021. Prime factorization of 60063 in exponential form is:
60063 = 31 × 200211
Now multiplying the highest exponent prime factors to calculate the LCM of 60059 and 60063.
LCM(60059,60063) = 191 × 291 × 1091 × 31 × 200211
LCM(60059,60063) = 3607323717
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