What is the Least Common Multiple of 92630 and 92634?
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 92630 and 92634 is 4290343710.
LCM(92630,92634) = 4290343710
Least Common Multiple of 92630 and 92634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92630 and 92634, than apply into the LCM equation.
GCF(92630,92634) = 2
LCM(92630,92634) = ( 92630 × 92634) / 2
LCM(92630,92634) = 8580687420 / 2
LCM(92630,92634) = 4290343710
Least Common Multiple (LCM) of 92630 and 92634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92630 and 92634. First we will calculate the prime factors of 92630 and 92634.
Prime Factorization of 92630
Prime factors of 92630 are 2, 5, 59, 157. Prime factorization of 92630 in exponential form is:
92630 = 21 × 51 × 591 × 1571
Prime Factorization of 92634
Prime factors of 92634 are 2, 3, 15439. Prime factorization of 92634 in exponential form is:
92634 = 21 × 31 × 154391
Now multiplying the highest exponent prime factors to calculate the LCM of 92630 and 92634.
LCM(92630,92634) = 21 × 51 × 591 × 1571 × 31 × 154391
LCM(92630,92634) = 4290343710
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