What is the Least Common Multiple of 59062 and 59081?
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 59062 and 59081 is 3489442022.
LCM(59062,59081) = 3489442022
Least Common Multiple of 59062 and 59081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59062 and 59081, than apply into the LCM equation.
GCF(59062,59081) = 1
LCM(59062,59081) = ( 59062 × 59081) / 1
LCM(59062,59081) = 3489442022 / 1
LCM(59062,59081) = 3489442022
Least Common Multiple (LCM) of 59062 and 59081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59062 and 59081. First we will calculate the prime factors of 59062 and 59081.
Prime Factorization of 59062
Prime factors of 59062 are 2, 29531. Prime factorization of 59062 in exponential form is:
59062 = 21 × 295311
Prime Factorization of 59081
Prime factors of 59081 are 11, 41, 131. Prime factorization of 59081 in exponential form is:
59081 = 111 × 411 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 59062 and 59081.
LCM(59062,59081) = 21 × 295311 × 111 × 411 × 1311
LCM(59062,59081) = 3489442022
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