What is the Least Common Multiple of 92935 and 92945?
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 92935 and 92945 is 1727568715.
LCM(92935,92945) = 1727568715
Least Common Multiple of 92935 and 92945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92935 and 92945, than apply into the LCM equation.
GCF(92935,92945) = 5
LCM(92935,92945) = ( 92935 × 92945) / 5
LCM(92935,92945) = 8637843575 / 5
LCM(92935,92945) = 1727568715
Least Common Multiple (LCM) of 92935 and 92945 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92935 and 92945. First we will calculate the prime factors of 92935 and 92945.
Prime Factorization of 92935
Prime factors of 92935 are 5, 18587. Prime factorization of 92935 in exponential form is:
92935 = 51 × 185871
Prime Factorization of 92945
Prime factors of 92945 are 5, 29, 641. Prime factorization of 92945 in exponential form is:
92945 = 51 × 291 × 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 92935 and 92945.
LCM(92935,92945) = 51 × 185871 × 291 × 6411
LCM(92935,92945) = 1727568715
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