What is the Least Common Multiple of 92046 and 92065?
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 92046 and 92065 is 8474214990.
LCM(92046,92065) = 8474214990
Least Common Multiple of 92046 and 92065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92046 and 92065, than apply into the LCM equation.
GCF(92046,92065) = 1
LCM(92046,92065) = ( 92046 × 92065) / 1
LCM(92046,92065) = 8474214990 / 1
LCM(92046,92065) = 8474214990
Least Common Multiple (LCM) of 92046 and 92065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92046 and 92065. First we will calculate the prime factors of 92046 and 92065.
Prime Factorization of 92046
Prime factors of 92046 are 2, 3, 23, 29. Prime factorization of 92046 in exponential form is:
92046 = 21 × 31 × 232 × 291
Prime Factorization of 92065
Prime factors of 92065 are 5, 18413. Prime factorization of 92065 in exponential form is:
92065 = 51 × 184131
Now multiplying the highest exponent prime factors to calculate the LCM of 92046 and 92065.
LCM(92046,92065) = 21 × 31 × 232 × 291 × 51 × 184131
LCM(92046,92065) = 8474214990
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