What is the Least Common Multiple of 92790 and 92795?
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 92790 and 92795 is 1722089610.
LCM(92790,92795) = 1722089610
Least Common Multiple of 92790 and 92795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92790 and 92795, than apply into the LCM equation.
GCF(92790,92795) = 5
LCM(92790,92795) = ( 92790 × 92795) / 5
LCM(92790,92795) = 8610448050 / 5
LCM(92790,92795) = 1722089610
Least Common Multiple (LCM) of 92790 and 92795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92790 and 92795. First we will calculate the prime factors of 92790 and 92795.
Prime Factorization of 92790
Prime factors of 92790 are 2, 3, 5, 1031. Prime factorization of 92790 in exponential form is:
92790 = 21 × 32 × 51 × 10311
Prime Factorization of 92795
Prime factors of 92795 are 5, 67, 277. Prime factorization of 92795 in exponential form is:
92795 = 51 × 671 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 92790 and 92795.
LCM(92790,92795) = 21 × 32 × 51 × 10311 × 671 × 2771
LCM(92790,92795) = 1722089610
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