What is the Least Common Multiple of 7834 and 7846?
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 7834 and 7846 is 30732782.
LCM(7834,7846) = 30732782
Least Common Multiple of 7834 and 7846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7834 and 7846, than apply into the LCM equation.
GCF(7834,7846) = 2
LCM(7834,7846) = ( 7834 × 7846) / 2
LCM(7834,7846) = 61465564 / 2
LCM(7834,7846) = 30732782
Least Common Multiple (LCM) of 7834 and 7846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7834 and 7846. First we will calculate the prime factors of 7834 and 7846.
Prime Factorization of 7834
Prime factors of 7834 are 2, 3917. Prime factorization of 7834 in exponential form is:
7834 = 21 × 39171
Prime Factorization of 7846
Prime factors of 7846 are 2, 3923. Prime factorization of 7846 in exponential form is:
7846 = 21 × 39231
Now multiplying the highest exponent prime factors to calculate the LCM of 7834 and 7846.
LCM(7834,7846) = 21 × 39171 × 39231
LCM(7834,7846) = 30732782
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