What is the Least Common Multiple of 92206 and 92210?
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 92206 and 92210 is 4251157630.
LCM(92206,92210) = 4251157630
Least Common Multiple of 92206 and 92210 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92206 and 92210, than apply into the LCM equation.
GCF(92206,92210) = 2
LCM(92206,92210) = ( 92206 × 92210) / 2
LCM(92206,92210) = 8502315260 / 2
LCM(92206,92210) = 4251157630
Least Common Multiple (LCM) of 92206 and 92210 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92206 and 92210. First we will calculate the prime factors of 92206 and 92210.
Prime Factorization of 92206
Prime factors of 92206 are 2, 46103. Prime factorization of 92206 in exponential form is:
92206 = 21 × 461031
Prime Factorization of 92210
Prime factors of 92210 are 2, 5, 9221. Prime factorization of 92210 in exponential form is:
92210 = 21 × 51 × 92211
Now multiplying the highest exponent prime factors to calculate the LCM of 92206 and 92210.
LCM(92206,92210) = 21 × 461031 × 51 × 92211
LCM(92206,92210) = 4251157630
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