What is the Least Common Multiple of 12058 and 12062?
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 12058 and 12062 is 72721798.
LCM(12058,12062) = 72721798
Least Common Multiple of 12058 and 12062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12058 and 12062, than apply into the LCM equation.
GCF(12058,12062) = 2
LCM(12058,12062) = ( 12058 × 12062) / 2
LCM(12058,12062) = 145443596 / 2
LCM(12058,12062) = 72721798
Least Common Multiple (LCM) of 12058 and 12062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12058 and 12062. First we will calculate the prime factors of 12058 and 12062.
Prime Factorization of 12058
Prime factors of 12058 are 2, 6029. Prime factorization of 12058 in exponential form is:
12058 = 21 × 60291
Prime Factorization of 12062
Prime factors of 12062 are 2, 37, 163. Prime factorization of 12062 in exponential form is:
12062 = 21 × 371 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 12058 and 12062.
LCM(12058,12062) = 21 × 60291 × 371 × 1631
LCM(12058,12062) = 72721798
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