What is the Least Common Multiple of 12602 and 12614?
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 12602 and 12614 is 79480814.
LCM(12602,12614) = 79480814
Least Common Multiple of 12602 and 12614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12602 and 12614, than apply into the LCM equation.
GCF(12602,12614) = 2
LCM(12602,12614) = ( 12602 × 12614) / 2
LCM(12602,12614) = 158961628 / 2
LCM(12602,12614) = 79480814
Least Common Multiple (LCM) of 12602 and 12614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12602 and 12614. First we will calculate the prime factors of 12602 and 12614.
Prime Factorization of 12602
Prime factors of 12602 are 2, 6301. Prime factorization of 12602 in exponential form is:
12602 = 21 × 63011
Prime Factorization of 12614
Prime factors of 12614 are 2, 7, 17, 53. Prime factorization of 12614 in exponential form is:
12614 = 21 × 71 × 171 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 12602 and 12614.
LCM(12602,12614) = 21 × 63011 × 71 × 171 × 531
LCM(12602,12614) = 79480814
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