What is the Least Common Multiple of 9193 and 9206?
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 9193 and 9206 is 84630758.
LCM(9193,9206) = 84630758
Least Common Multiple of 9193 and 9206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9193 and 9206, than apply into the LCM equation.
GCF(9193,9206) = 1
LCM(9193,9206) = ( 9193 × 9206) / 1
LCM(9193,9206) = 84630758 / 1
LCM(9193,9206) = 84630758
Least Common Multiple (LCM) of 9193 and 9206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9193 and 9206. First we will calculate the prime factors of 9193 and 9206.
Prime Factorization of 9193
Prime factors of 9193 are 29, 317. Prime factorization of 9193 in exponential form is:
9193 = 291 × 3171
Prime Factorization of 9206
Prime factors of 9206 are 2, 4603. Prime factorization of 9206 in exponential form is:
9206 = 21 × 46031
Now multiplying the highest exponent prime factors to calculate the LCM of 9193 and 9206.
LCM(9193,9206) = 291 × 3171 × 21 × 46031
LCM(9193,9206) = 84630758
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