What is the Least Common Multiple of 92615 and 92625?
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 92615 and 92625 is 1715692875.
LCM(92615,92625) = 1715692875
Least Common Multiple of 92615 and 92625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92615 and 92625, than apply into the LCM equation.
GCF(92615,92625) = 5
LCM(92615,92625) = ( 92615 × 92625) / 5
LCM(92615,92625) = 8578464375 / 5
LCM(92615,92625) = 1715692875
Least Common Multiple (LCM) of 92615 and 92625 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92615 and 92625. First we will calculate the prime factors of 92615 and 92625.
Prime Factorization of 92615
Prime factors of 92615 are 5, 18523. Prime factorization of 92615 in exponential form is:
92615 = 51 × 185231
Prime Factorization of 92625
Prime factors of 92625 are 3, 5, 13, 19. Prime factorization of 92625 in exponential form is:
92625 = 31 × 53 × 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 92615 and 92625.
LCM(92615,92625) = 53 × 185231 × 31 × 131 × 191
LCM(92615,92625) = 1715692875
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