What is the Least Common Multiple of 92725 and 92729?
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 92725 and 92729 is 8598296525.
LCM(92725,92729) = 8598296525
Least Common Multiple of 92725 and 92729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92725 and 92729, than apply into the LCM equation.
GCF(92725,92729) = 1
LCM(92725,92729) = ( 92725 × 92729) / 1
LCM(92725,92729) = 8598296525 / 1
LCM(92725,92729) = 8598296525
Least Common Multiple (LCM) of 92725 and 92729 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92725 and 92729. First we will calculate the prime factors of 92725 and 92729.
Prime Factorization of 92725
Prime factors of 92725 are 5, 3709. Prime factorization of 92725 in exponential form is:
92725 = 52 × 37091
Prime Factorization of 92729
Prime factors of 92729 are 7, 13, 1019. Prime factorization of 92729 in exponential form is:
92729 = 71 × 131 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 92725 and 92729.
LCM(92725,92729) = 52 × 37091 × 71 × 131 × 10191
LCM(92725,92729) = 8598296525
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