What is the Least Common Multiple of 12658 and 12666?
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 12658 and 12666 is 80163114.
LCM(12658,12666) = 80163114
Least Common Multiple of 12658 and 12666 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12658 and 12666, than apply into the LCM equation.
GCF(12658,12666) = 2
LCM(12658,12666) = ( 12658 × 12666) / 2
LCM(12658,12666) = 160326228 / 2
LCM(12658,12666) = 80163114
Least Common Multiple (LCM) of 12658 and 12666 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12658 and 12666. First we will calculate the prime factors of 12658 and 12666.
Prime Factorization of 12658
Prime factors of 12658 are 2, 6329. Prime factorization of 12658 in exponential form is:
12658 = 21 × 63291
Prime Factorization of 12666
Prime factors of 12666 are 2, 3, 2111. Prime factorization of 12666 in exponential form is:
12666 = 21 × 31 × 21111
Now multiplying the highest exponent prime factors to calculate the LCM of 12658 and 12666.
LCM(12658,12666) = 21 × 63291 × 31 × 21111
LCM(12658,12666) = 80163114
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