What is the Least Common Multiple of 95792 and 95809?
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 95792 and 95809 is 9177735728.
LCM(95792,95809) = 9177735728
Least Common Multiple of 95792 and 95809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95792 and 95809, than apply into the LCM equation.
GCF(95792,95809) = 1
LCM(95792,95809) = ( 95792 × 95809) / 1
LCM(95792,95809) = 9177735728 / 1
LCM(95792,95809) = 9177735728
Least Common Multiple (LCM) of 95792 and 95809 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95792 and 95809. First we will calculate the prime factors of 95792 and 95809.
Prime Factorization of 95792
Prime factors of 95792 are 2, 5987. Prime factorization of 95792 in exponential form is:
95792 = 24 × 59871
Prime Factorization of 95809
Prime factors of 95809 are 7, 13687. Prime factorization of 95809 in exponential form is:
95809 = 71 × 136871
Now multiplying the highest exponent prime factors to calculate the LCM of 95792 and 95809.
LCM(95792,95809) = 24 × 59871 × 71 × 136871
LCM(95792,95809) = 9177735728
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