What is the Least Common Multiple of 92063 and 92072?
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 92063 and 92072 is 8476424536.
LCM(92063,92072) = 8476424536
Least Common Multiple of 92063 and 92072 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92063 and 92072, than apply into the LCM equation.
GCF(92063,92072) = 1
LCM(92063,92072) = ( 92063 × 92072) / 1
LCM(92063,92072) = 8476424536 / 1
LCM(92063,92072) = 8476424536
Least Common Multiple (LCM) of 92063 and 92072 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92063 and 92072. First we will calculate the prime factors of 92063 and 92072.
Prime Factorization of 92063
Prime factors of 92063 are 43, 2141. Prime factorization of 92063 in exponential form is:
92063 = 431 × 21411
Prime Factorization of 92072
Prime factors of 92072 are 2, 17, 677. Prime factorization of 92072 in exponential form is:
92072 = 23 × 171 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 92063 and 92072.
LCM(92063,92072) = 431 × 21411 × 23 × 171 × 6771
LCM(92063,92072) = 8476424536
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