What is the Least Common Multiple of 60055 and 60059?
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 60055 and 60059 is 3606843245.
LCM(60055,60059) = 3606843245
Least Common Multiple of 60055 and 60059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60055 and 60059, than apply into the LCM equation.
GCF(60055,60059) = 1
LCM(60055,60059) = ( 60055 × 60059) / 1
LCM(60055,60059) = 3606843245 / 1
LCM(60055,60059) = 3606843245
Least Common Multiple (LCM) of 60055 and 60059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60055 and 60059. First we will calculate the prime factors of 60055 and 60059.
Prime Factorization of 60055
Prime factors of 60055 are 5, 12011. Prime factorization of 60055 in exponential form is:
60055 = 51 × 120111
Prime Factorization of 60059
Prime factors of 60059 are 19, 29, 109. Prime factorization of 60059 in exponential form is:
60059 = 191 × 291 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 60055 and 60059.
LCM(60055,60059) = 51 × 120111 × 191 × 291 × 1091
LCM(60055,60059) = 3606843245
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