What is the Least Common Multiple of 12061 and 12074?
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 12061 and 12074 is 145624514.
LCM(12061,12074) = 145624514
Least Common Multiple of 12061 and 12074 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12061 and 12074, than apply into the LCM equation.
GCF(12061,12074) = 1
LCM(12061,12074) = ( 12061 × 12074) / 1
LCM(12061,12074) = 145624514 / 1
LCM(12061,12074) = 145624514
Least Common Multiple (LCM) of 12061 and 12074 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12061 and 12074. First we will calculate the prime factors of 12061 and 12074.
Prime Factorization of 12061
Prime factors of 12061 are 7, 1723. Prime factorization of 12061 in exponential form is:
12061 = 71 × 17231
Prime Factorization of 12074
Prime factors of 12074 are 2, 6037. Prime factorization of 12074 in exponential form is:
12074 = 21 × 60371
Now multiplying the highest exponent prime factors to calculate the LCM of 12061 and 12074.
LCM(12061,12074) = 71 × 17231 × 21 × 60371
LCM(12061,12074) = 145624514
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