What is the Least Common Multiple of 7906 and 7926?
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 7906 and 7926 is 31331478.
LCM(7906,7926) = 31331478
Least Common Multiple of 7906 and 7926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7906 and 7926, than apply into the LCM equation.
GCF(7906,7926) = 2
LCM(7906,7926) = ( 7906 × 7926) / 2
LCM(7906,7926) = 62662956 / 2
LCM(7906,7926) = 31331478
Least Common Multiple (LCM) of 7906 and 7926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7906 and 7926. First we will calculate the prime factors of 7906 and 7926.
Prime Factorization of 7906
Prime factors of 7906 are 2, 59, 67. Prime factorization of 7906 in exponential form is:
7906 = 21 × 591 × 671
Prime Factorization of 7926
Prime factors of 7926 are 2, 3, 1321. Prime factorization of 7926 in exponential form is:
7926 = 21 × 31 × 13211
Now multiplying the highest exponent prime factors to calculate the LCM of 7906 and 7926.
LCM(7906,7926) = 21 × 591 × 671 × 31 × 13211
LCM(7906,7926) = 31331478
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