What is the Least Common Multiple of 12619 and 12633?
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 12619 and 12633 is 159415827.
LCM(12619,12633) = 159415827
Least Common Multiple of 12619 and 12633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12619 and 12633, than apply into the LCM equation.
GCF(12619,12633) = 1
LCM(12619,12633) = ( 12619 × 12633) / 1
LCM(12619,12633) = 159415827 / 1
LCM(12619,12633) = 159415827
Least Common Multiple (LCM) of 12619 and 12633 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12619 and 12633. First we will calculate the prime factors of 12619 and 12633.
Prime Factorization of 12619
Prime factors of 12619 are 12619. Prime factorization of 12619 in exponential form is:
12619 = 126191
Prime Factorization of 12633
Prime factors of 12633 are 3, 4211. Prime factorization of 12633 in exponential form is:
12633 = 31 × 42111
Now multiplying the highest exponent prime factors to calculate the LCM of 12619 and 12633.
LCM(12619,12633) = 126191 × 31 × 42111
LCM(12619,12633) = 159415827
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